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7.1 Integration By Parts/30 - Revision history
2026-05-05T17:40:45Z
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Rubyp61202@students.laalliance.org at 16:46, 13 December 2022
2022-12-13T16:46:36Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:46, 13 December 2022</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ]<del style="font-weight: bold; text-decoration: none;">\Bigg|</del>_{0}^{1} </math></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ]_{0}^{1} </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td></tr>
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Rubyp61202@students.laalliance.org
https://wiki.dvaezazizi.com/index.php?title=7.1_Integration_By_Parts/30&diff=6166&oldid=prev
Rubyp61202@students.laalliance.org at 16:46, 13 December 2022
2022-12-13T16:46:04Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:46, 13 December 2022</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ]\<del style="font-weight: bold; text-decoration: none;">Biggg</del>|_{0}^{1} </math></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ]\<ins style="font-weight: bold; text-decoration: none;">Bigg</ins>|_{0}^{1} </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td></tr>
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Rubyp61202@students.laalliance.org
https://wiki.dvaezazizi.com/index.php?title=7.1_Integration_By_Parts/30&diff=6165&oldid=prev
Rubyp61202@students.laalliance.org at 16:45, 13 December 2022
2022-12-13T16:45:29Z
<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:45, 13 December 2022</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ]\<del style="font-weight: bold; text-decoration: none;">Bigg</del>|_{0}^{1} </math></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ]\<ins style="font-weight: bold; text-decoration: none;">Biggg</ins>|_{0}^{1} </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td></tr>
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Rubyp61202@students.laalliance.org
https://wiki.dvaezazizi.com/index.php?title=7.1_Integration_By_Parts/30&diff=6164&oldid=prev
Rubyp61202@students.laalliance.org at 16:45, 13 December 2022
2022-12-13T16:45:02Z
<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:45, 13 December 2022</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l25">Line 25:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ]\<del style="font-weight: bold; text-decoration: none;">bigg</del>|_{0}^{1} </math></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ]\<ins style="font-weight: bold; text-decoration: none;">Bigg</ins>|_{0}^{1} </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td></tr>
</table>
Rubyp61202@students.laalliance.org
https://wiki.dvaezazizi.com/index.php?title=7.1_Integration_By_Parts/30&diff=6163&oldid=prev
Rubyp61202@students.laalliance.org at 16:44, 13 December 2022
2022-12-13T16:44:28Z
<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:44, 13 December 2022</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l25">Line 25:</td>
<td colspan="2" class="diff-lineno">Line 25:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ]\<del style="font-weight: bold; text-decoration: none;">bigggg</del>|_{0}^{1} </math></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ]\<ins style="font-weight: bold; text-decoration: none;">bigg</ins>|_{0}^{1} </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td></tr>
</table>
Rubyp61202@students.laalliance.org
https://wiki.dvaezazizi.com/index.php?title=7.1_Integration_By_Parts/30&diff=6162&oldid=prev
Rubyp61202@students.laalliance.org at 16:44, 13 December 2022
2022-12-13T16:44:06Z
<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:44, 13 December 2022</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l25">Line 25:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ]\<del style="font-weight: bold; text-decoration: none;">biggg</del>|_{0}^{1} </math></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ]\<ins style="font-weight: bold; text-decoration: none;">bigggg</ins>|_{0}^{1} </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td></tr>
</table>
Rubyp61202@students.laalliance.org
https://wiki.dvaezazizi.com/index.php?title=7.1_Integration_By_Parts/30&diff=6161&oldid=prev
Rubyp61202@students.laalliance.org at 16:43, 13 December 2022
2022-12-13T16:43:32Z
<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:43, 13 December 2022</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l25">Line 25:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ]\<del style="font-weight: bold; text-decoration: none;">bigg</del>|_{0}^{1} </math></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ]\<ins style="font-weight: bold; text-decoration: none;">biggg</ins>|_{0}^{1} </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td></tr>
</table>
Rubyp61202@students.laalliance.org
https://wiki.dvaezazizi.com/index.php?title=7.1_Integration_By_Parts/30&diff=6160&oldid=prev
Rubyp61202@students.laalliance.org at 16:43, 13 December 2022
2022-12-13T16:43:01Z
<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:43, 13 December 2022</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l25">Line 25:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ]<ins style="font-weight: bold; text-decoration: none;">\bigg|_{0}^{1} </ins></math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td></tr>
</table>
Rubyp61202@students.laalliance.org
https://wiki.dvaezazizi.com/index.php?title=7.1_Integration_By_Parts/30&diff=6103&oldid=prev
Rubyp61202@students.laalliance.org at 12:23, 13 December 2022
2022-12-13T12:23:00Z
<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:23, 13 December 2022</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l25">Line 25:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ] <del style="font-weight: bold; text-decoration: none;">\bigg_{0}^{1} </del></math></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td></tr>
</table>
Rubyp61202@students.laalliance.org
https://wiki.dvaezazizi.com/index.php?title=7.1_Integration_By_Parts/30&diff=6102&oldid=prev
Rubyp61202@students.laalliance.org at 12:22, 13 December 2022
2022-12-13T12:22:42Z
<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:22, 13 December 2022</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l25">Line 25:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ] \<del style="font-weight: bold; text-decoration: none;">bigg|_</del>{0}^{1} </math></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \left [ \frac{\left ( r^{2}+4 \right )^{\frac{3}{2}}}{3} - 4\left ( r^{2}+4 \right )^{\frac{1}{2}} \right ] \<ins style="font-weight: bold; text-decoration: none;">bigg_</ins>{0}^{1} </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \left [\frac{\left ( 1 ^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 1 ^{2}+4 \right )^{\frac{1}{2}} \right ]- \left [ \frac{\left ( 0^{2}+4 \right )^{\frac{3}{2}}}{3}-4\left ( 0^{2}+4 \right )^{\frac{1}{2}} \right ] </math></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math> \frac{5^{\frac{3}{2}}}{3}-4\left ( 5 \right )^{\frac{1}{2}}-\left ( \frac{\left ( 4 \right )^{\frac{3}{2}}}{3} - 8\right ) ~~~ = ~~~ \frac{5^{\frac{3}{2}}}{3}-4\sqrt{5}-\frac{4^{\frac{3}{2}}}{3}-8 ~~~\approx~~~0.116 </math></div></td></tr>
</table>
Rubyp61202@students.laalliance.org