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• 02:41, 29 November 2022 Andy Arevalo talk contribs created page 7.1 Integration By Parts/13 (Created page with "<math> \inttsec^2 2tdt </math> <math> </math>")
• 02:37, 29 November 2022 Elizabethh58413 talk contribs created page 7.1 Integration By Parts/37 (Created page with "<math> \int x\ln({x})dx </math> <br> <math> \begin{align} u &= x + 1 \\[2ex] x &= u-1 \\[2ex] du &= dx \\[2ex] \end{align} </math> <br> <math> \begin{align} \int(u-1)\ln({u}) du &= \ln{u} \cdot \frac{1}{2}u^2 - u \int(\frac{1}{2}u^2-u) \cdot \frac{1}{u} du \\[2ex]")
• 01:47, 29 November 2022 Andy Arevalo talk contribs created page 6.2 Volumes/3 (Created page with "<math> y=frac{1}{x}, x = 1, x = 2, y = 0; \text{about the x-axis}")
• 00:24, 29 November 2022 Jorgen70034@students.laalliance.org talk contribs created page 6.2 Volumes/29 (Created page with "<math>y^2+R=1</math> <math>\int_{0}^{1}\pi(1-y^2)^2-\pi(1-\sqrt[31]{y})^2dy=\pi\sqrt{\int_{0}^{1}}1-2y^2+y^4dy</math> <math>\int_{0}^{1}1-2-\sqrt[3]{y}</math>")
• 00:24, 29 November 2022 Merlynm101615@students.laalliance.org talk contribs created page 6.5 Average Value of a Function/17 (Created page with "<math> \begin{align} \int_{0}^{12} 50 + 14\sin(\frac{\pi}{12}t) \end{align} <math>")
• 23:20, 28 November 2022 Naydelinr58421@students.laalliance.org talk contribs created page 7.1 Integration By Parts/54 (Created page with "<math> y=5\ln(x) , y=x\ln(x) 5\ln(x)=x\ln(x) x=5 x=1 </math>")
• 21:18, 28 November 2022 Elizabethh58413 talk contribs created page 7.1 Integration By Parts/43 (Created page with " <math> \int{sin^2x}dx = - \frac{1}{2}cos(x) \cdot sin^{2-1}x + \frac{2-1}{2} \int sin^0xdx </math> <br><br>")
• 19:14, 28 November 2022 Naydelinr58421@students.laalliance.org talk contribs created page 7.1 Integration By Parts/48 (Created page with "\int_{}^{} \left(x^{n} e^{x} \right)dx")
• 18:55, 28 November 2022 Naydelinr58421@students.laalliance.org talk contribs created page 7.1 Integration By Parts/47 (Created page with "<math> \int_{}^{} \left(\ln(x)^{n}\right)dx <\math>")
• 18:14, 28 November 2022 Angele69337@students.laalliance.org talk contribs created page 7.1 Integration By Parts/4 (Created page with "\int")
• 17:46, 28 November 2022 Lizj70013@students.laalliance.org talk contribs created page 6.5 Average Value of a Function/1 (Created page with "Find the average value of the function on the given interval.")
• 05:26, 28 November 2022 Johnny C. talk contribs created page 7.1 Integration By Parts/52 (Created page with "<math> \begin{align} & \int{}^{} x^4 e^x &\int{}^{} x^n e^x dx = x^n e^x - n \int{}^{} x^{n-1} e^x dx & x^4 e^x - 4 \int{}^{} x^3 e^x dx \end{align} </math>")
• 05:22, 28 November 2022 Johnny C. talk contribs created page 7.1 Integration By Parts/35 (Created page with "<math> \begin{align} & \int_\sqrt{\frac{{\pi}}{2}}^\sqrt{\pi}\ \theta^3 cos(\theta^2) d\theta & u=\theta^2 \\[2ex] & du= 2\theta d\theta \\[2ex] & \frac{1}{2}du=\theta d\theta \end{align} </math> <math> \begin{align} & \int{}^{} u\cdot cos(u) du & w=u \\[2ex] & wu=du & dv= cos(u) dx & v= sin(u) \end{align} </math> <math> \begin{align} & u\cdot sin(u) - \int{}^{} sin(u) du &= \frac{1}{2}u \cdot sin(u) + \frac{1}{2}cos(u)\bigg|_{\frac{\pi}{2}}^{\pi} &= \fr...")
• 02:16, 27 November 2022 Dvaezazizi@laalliance.org talk contribs created page 10.2 Calculus With Parametric Curves (Created page with "== Lecture == * [https://www.youtube.com/watch?v=f0EkQrPEDFw Link] == Lecture notes == == Examples == == Solutions == Mr. V solutions: TBD<br>")
• 02:15, 27 November 2022 Dvaezazizi@laalliance.org talk contribs created page 10.1 Curves Defined By Parametric Equations (Created page with "https://www.youtube.com/watch?v=f0EkQrPEDFw")
• 01:43, 27 November 2022 Kattieh70488@students.laalliance.org talk contribs created page 7.1 Integration By Parts/10 (Created page with "<math> f'(x)= \int_{}^{}\sin^{-1}(x)\cdot dx </math> <br><br> <math>\int_{}^{}\sin^{-1}(x)dx</math> = <math>x\sin^{-1}(x)-\int_{}^{}\frac{x}{\sqrt{1-x^2}}dx</math> = <math>x\sin^{-1}(x)+\frac{1}{2}\int_{}^{}\frac{1}{\sqrt{u}}</math> = <math>x\sin^{-1}(x)+\frac{1}{2}\int_{}^{}u^{-\frac{1}{2}}du</math> = <math>{\frac{\pi}{6}}-\frac{1}{2}\int_{1}^{\frac{3}{4}}u^{-\frac{1}{2}}du</math>")
• 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...")
• 22:54, 25 November 2022 Kattieh70488@students.laalliance.org talk contribs created page 7.1 Integration By Parts/27 (Created page with "<math> f'(x)= \int_{\frac{1}{2}}^{0}\cos^1(x)\cdot dx </math> <br><br>")
• 22:20, 25 November 2022 Kattieh70488@students.laalliance.org talk contribs created page 6.2 Volumes/27 (Created page with "<math> \begin{align} v=\pi\int_0^1\left[(x^\frac{1}{2})^2-(x^3)^2\right]dx & = \pi\int_0^1\left[(x-x^6)\right]dx \\[2ex] &= \pi\left[\frac{x^2}{2}-\frac{x^7}{7}\right]\Bigg|_0^1 \\[2ex] &= \pi\left[\frac{1}{2}-\frac{1}{7}\right]= \pi\left[\frac{7-2}{14}\right] \\[2ex] &= \frac{5\pi}{14} \end{align} </math>")
• 02:03, 25 November 2022 Josuem95981@students.laalliance.org talk contribs created page File:Tablefor15.png
• 02:03, 25 November 2022 Josuem95981@students.laalliance.org talk contribs uploaded File:Tablefor15.png
• 01:35, 25 November 2022 Josuem95981@students.laalliance.org talk contribs created page 6.5 Average Value of a Function/15 (Created page with "<math> \begin{align} f_{avg} &= \frac{1}{30} \int_{20}^{50} f(x)dx \\[2ex] &=\frac{1}{30} \left[10\bigg( f(25)+f(35)+f(45) \bigg) \right] = \frac{1}{3} \bigg(38+29+48 \bigg) \\[2ex] &= \frac{115}{3} \\[2ex] &= 38 \frac{1}{3} \end{align} </math>")
• 04:28, 24 November 2022 Nubiaa92222@students.laalliance.org talk contribs created page 7.1 Integration By Parts/11 (Created page with "<math> \int(arctan (4t)) dt </math> <math> \begin{align} \pi\int_1^2\left[\left(2-\frac{1}{2}x\right)^2\right]dx & = \pi\int_1^2\left[\left(4-2x+\frac{1}{4}x^2\right)\right]dx \\[2ex] &= \pi\left[4x-x^2+\frac{1}{12}x^3\right]\Bigg|_1^2 \\[2ex] &= \pi\left[\left(4(2)-(2)^2+\frac{1}{12}(2)^3\right)-\left(4(1)-(1)^2+\frac{1}{12}(1)^3\right)\right] \\[2ex] &= \pi\left[\left(8-4+\frac{8}{12}\right)-\left(4-1+\frac{1}{12}\right)\right] \\[2ex] &= \pi\left[4+\frac{8}{12}-3-\f...")
• 03:11, 24 November 2022 Nubiaa92222@students.laalliance.org talk contribs created page 6.2 Volumes/1 (Created page with "<math> R = 1 </math> <math> \begin{align} r + f(y) &= 1\\[1ex] r &= 1-f(y)\\[1ex] r &= 1-y^2 \\ \end{align} </math> <math> \begin{align} \pi\int_0^1\left[(1)^2-(1-y^2)^2\right]dy & = \pi\int_0^1\left[(1-(1-2y^2+y^4)\right]dy = \pi\int_0^1\left[(2y^2-y^4)\right]dy \\[2ex] &= \pi\left[\frac{2y^3}{3}-\frac{y^5}{5}\right]\Bigg|_0^1 \\[2ex] &= \pi\left[\frac{2}{3}-\frac{1}{5}\right]= \pi\left[\frac{10}{15}-\frac{3}{15}\right] \\[2ex] &= \frac{7\pi}{15} \end{align} <...")
• 02:19, 23 November 2022 Debbier70425@students.laalliance.org talk contribs created page 7.1 Integration By Parts/36 (Created page with "<math>\int_{0}^{pi}e^{cost}(sin2t)dt</math>")
• 00:49, 23 November 2022 Debbier70425@students.laalliance.org talk contribs created page 7.1 Integration By Parts/33 (Created page with "<math> \begin{align}")
• 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>")
• 03:36, 14 November 2022 Dvaezazizi@laalliance.org talk contribs created page 7.1 Integration By Parts (Created page with "== Lecture == == Lecture notes == == Examples == == Solutions == Mr. V solutions: TBD<br> 1 2 3 5 7 15 17 // not 21")
• 15:55, 4 October 2022 Cynthiac61995@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/55 (Created page with "<math> \int_{0}{\pi} </math>")
• 15:45, 4 October 2022 Cynthiac61995@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/31 (Created page with "<math> \int \frac{\cos{(x)}}{\sin^2{(x)}dx </math> <math> \begin{align} u &=\sin{(x)} \\[2ex] du &= \cos{(x)}dx \end{align} </math>")
• 21:38, 2 October 2022 Marvinr60451@students.laalliance.org talk contribs created page 6.1 Areas Between Curves/20 (Created page with "<math> 4x+y^2=12, x=y </math>")
• 23:31, 28 September 2022 Ricardom59381@students.laalliance.org talk contribs created page File:Screen Shot 2022-09-28 at 4.31.18 PM.png
• 23:31, 28 September 2022 Ricardom59381@students.laalliance.org talk contribs uploaded File:Screen Shot 2022-09-28 at 4.31.18 PM.png
• 16:53, 23 September 2022 Sandersg92249@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/33 (Created page with "<math> \int")
• 03:30, 23 September 2022 Manuelc58436@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/3 (Created page with "<math> \int x^2 \sqrt{x^3+1} dx </math>")
• 00:38, 23 September 2022 Manuelc58436@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/53 (Created page with "<math>\int_{1}^{x^2}\frac{0}{r}dr</math>")
• 23:28, 22 September 2022 Ricardom59381@students.laalliance.org talk contribs created page File:Desmos graph 6.1.12.png
• 23:28, 22 September 2022 Ricardom59381@students.laalliance.org talk contribs uploaded File:Desmos graph 6.1.12.png
• 22:48, 22 September 2022 Ricardom59381@students.laalliance.org talk contribs created page 6.1 Areas Between Curves/12 (Created page with "<math> \begin{align} & \color{red}\mathbf{y=x^2} & \color{royalblue}\mathbf{y=4x-x^2} \\ & x=0 & x=2 \\ \end{align} </math> <math>\int_{0}^{2} \left|(8-x^2) - (x^2)\right|dx </math> <math> \begin{align} 8-x^2 &= x^2 \\ -2x^2 &= -8 \\ x^2 &= 4 \\ x &= \pm2 \end{align} </math> <math>\int_{-3}^{3} \left|(8-x^2) - (x^2)\right|dx = \int_{-3}^{-2}\left((x^2)-(8-x^2)\right)dx + \int_{-2}^{2} \left((8-x^2) - (x^2)\right)dx + \int_{2}^{3}\left((x^2)-(8-x^2)\right)dx =...")
• 20:04, 22 September 2022 Cynthiac61995@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/11 (Created page with "<math> \int (x+1)\sqrt{2x+x^{2}}dx </math> <math> \begin{align} u &=2x+x^{2} \\[2ex] du &=2+2x dx \\[2ex] \frac{1}{2}du &=x+1 \end{align} </math>")
• 19:52, 22 September 2022 Nubiaa92222@students.laalliance.org talk contribs created page File:Desmos-graph-25.png
• 19:52, 22 September 2022 Nubiaa92222@students.laalliance.org talk contribs uploaded File:Desmos-graph-25.png
• 19:37, 22 September 2022 Nubiaa92222@students.laalliance.org talk contribs created page 6.1 Areas Between Curves/25 (Created page with "<math> \begin{align} & \color{red}\mathbf{y=x^{2}} & \color{royalblue}\mathbf{y=2\frac(x^{2}+1} \\ \end{align} </math>")
• 19:28, 22 September 2022 Cynthiac61995@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/5 (Created page with "<math> \int \cos^{3}{(\theta)}\sin{(\theta)}d{\theta)} \text{,} \quad u=cos{(\theta)} </math>")
• 19:01, 22 September 2022 Nubiaa92222@students.laalliance.org talk contribs created page File:Desmos-graph-5.png
• 19:01, 22 September 2022 Nubiaa92222@students.laalliance.org talk contribs uploaded File:Desmos-graph-5.png
• 18:46, 22 September 2022 Nubiaa92222@students.laalliance.org talk contribs created page 6.1 Areas Between Curves/5 (Created page with "<math> \begin{align} & \color{red}\mathbf{y=x+1} & \color{royalblue}\mathbf{y=9-x^{2}} \\ & x=-1 & x=2 \\ \end{align} </math>")
• 19:42, 21 September 2022 Dvaezazizi@laalliance.org talk contribs protected 5.4 Indefinite Integrals and the Net Change Theorem/43 [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (hist)
• 19:41, 21 September 2022 Dvaezazizi@laalliance.org talk contribs protected 5.4 Indefinite Integrals and the Net Change Theorem/41 [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (hist)

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