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• 01:24, 27 November 2022 Juanr69976@students.laalliance.org talk contribs created page 7.1 Integration By Parts/32 (Created page with "<math> f'(x)= \int_{0}^{t} e^s sin(t-s) \cdot ds </math> <br><br> <math>\int_{0}^{t} e^s sin(t-s) \cdot ds ~ ~ ~ = ~ ~ ~ e^s \cdot cos(t-s) - \int_{0}^{t} e^s cos(t-s) \cdot ds</math><br> <math> u= e^s ~ ~ ~ ~ ~ dv=sin(t-s)dx ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ u=e^s ~ ~ ~ ~ ~ dv=cos(t-s)</math><br> <math>du= e^s ds~ ~ v=cos(t-s) ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ du=e^s ~ ~ ~ ~ ~ v=-sin(t-s)</math> <br><br> <math>=\frac{32}{5} (\ln(2))^2 -\frac{64}{25} (\ln(2)) + \fr...")
• 23:00, 26 November 2022 Juanr69976@students.laalliance.org talk contribs created page 7.1 Integration By Parts/31 (Created page with "<math> f'(x)= \int_{1}^{2} x^4(\ln(x))^2 \cdot dx </math> <br><br> <math>\int_{1}^{2} x^4(\ln(x))^2 \cdot dx ~ ~ ~ = ~ ~ ~ \frac{x^5(ln(x))^2}{5} - \frac{2}{5}\int_{1}^{2} x^4 \ln(x)\cdot dx ~ ~ ~ = ~ ~ ~ \frac{x^5(ln(x))^2}{5} - \frac{2x^5(\ln(x))^2}{25} + \int_{1}^{2} x^4 \cdot dx ~ ~ ~ = ~ ~ ~ \frac{x^5(ln(x))^2}{5} - \frac{2x^5(ln(x))^2}{25} + \frac{2x^5}{25} </math><br> <math> u= (\ln(x))^2 ~ ~ ~ ~ ~ dv=dx ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ u=\ln(x) ~ ~ ~ ~ ~ dv=x^4</m...")
• 20:21, 18 November 2022 Juanr69976@students.laalliance.org talk contribs created page 7.1 Integration By Parts/29 (Created page with "<math> f'(x)= \int_{}^{}\cos(x)ln(sin(x))\cdot dx </math> <br><br> <math>\int_{}^{}\cos(x)ln(sin(x)\cdot dx=\int_{}^{}\ln(u)\cdot du</math><br> <math>u=sin(x)</math> <br> <math> du=cos(x)dx</math> <br><br> <math>=u \cdot ln(u)-u+c</math><br><br> <math>\text{Therefore, } f(x)=sin(x)ln(sin(x))-sin(x)+c</math>")
• 16:00, 19 September 2022 Juanr69976@students.laalliance.org talk contribs created page File:6.1.19 graph actual.png
• 16:00, 19 September 2022 Juanr69976@students.laalliance.org talk contribs uploaded File:6.1.19 graph actual.png
• 20:31, 18 September 2022 Juanr69976@students.laalliance.org talk contribs created page 6.1 Areas Between Curves/16 (Created page with "right|350px| 16) <math> \begin{align} & \color{red} \mathbf{y=x^3-x} & \color{royalblue}\mathbf{y=3x} \\ \end{align} </math> <math> \begin{align} x^3-x &= 3x \\ x^3 &=4x \\ x^2(x) &=4(x) \\ x^2 &=4 \\ x &= \pm2 \\[2ex] \int_{-2}^{2} [(x^3-x)-(3x)]dx \\ =\int_{-2}^{2} [x^3-4x]dx \\[2ex] =\left[\frac{x^4}{4}-2x^2\right]\Bigg|_{-2}^{2}\\[2ex] =\frac{(2)^4}{4}-2(2)^2-\left(\frac{(-2)^4}{4}-2(-2)^2\right)\\[2ex] =\frac{16}{4}-2...")
• 20:16, 18 September 2022 Juanr69976@students.laalliance.org talk contribs created page File:6.1.16 graph.png
• 20:16, 18 September 2022 Juanr69976@students.laalliance.org talk contribs uploaded File:6.1.16 graph.png
• 23:43, 17 September 2022 Juanr69976@students.laalliance.org talk contribs created page File:6.1.19 graph.png
• 23:43, 17 September 2022 Juanr69976@students.laalliance.org talk contribs uploaded File:6.1.19 graph.png
• 22:49, 17 September 2022 Juanr69976@students.laalliance.org talk contribs created page File:Graph.png
• 22:49, 17 September 2022 Juanr69976@students.laalliance.org talk contribs uploaded File:Graph.png
• 16:13, 16 September 2022 Juanr69976@students.laalliance.org talk contribs created page 6.1 Areas Between Curves/19 (Created page with " 5 6 7 8 9 10 11 12 13 14 15 16 17 6.1 Areas Between Curves...")
• 20:17, 1 September 2022 Juanr69976@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/21 (Created page with " <math>\int\frac{cos\sqrt(t)}{\sqrt(t)}<\math>")
• 00:13, 29 August 2022 Juanr69976@students.laalliance.org talk contribs created page 5.4 Indefinite Integrals and the Net Change Theorem/17 (Created page with "17)\int{}{}1+tan^2x\,dx\\ \int{}{}1+tan^2x\,dx=\frac{d}{dx}(tanx)\\ \frac{d}{dx}(tanx)\\= \left(\frac{1}{dx}\right) &= \left(\frac{1}{dx}\right)")
• 18:01, 25 August 2022 Juanr69976@students.laalliance.org talk contribs created page 5.3 The Fundamental Theorem of Calculus/37 (Created page with "FTC # 2 <math>int\limits_{1/2}^{frac{root^3}{(2)}\frac{1}{(1+u^2)}u^3, du/math> 1 3 5 7 8 9 10 11 5.3...")
• 20:05, 23 August 2022 Juanr69976@students.laalliance.org talk contribs created page 5.3 The Fundamental Theorem of Calculus/17 (Created page with "<math>FTC #1</math>")
• 15:51, 23 August 2022 Juanr69976@students.laalliance.org talk contribs created page Juan (Created page with "<math>x^2+y^2=c^2</math>")
• 15:39, 23 August 2022 User account Juanr69976@students.laalliance.org talk contribs was created automatically