User contributions for Juanr69976@students.laalliance.org

02:3402:34, 27 November 2022 diff hist +24‎ 7.1 Integration By Parts/32 ‎No edit summary
02:3302:33, 27 November 2022 diff hist +62‎ 7.1 Integration By Parts/32 ‎No edit summary
02:2702:27, 27 November 2022 diff hist +457‎ 7.1 Integration By Parts/32 ‎No edit summary
01:2401:24, 27 November 2022 diff hist +2,124‎ N 7.1 Integration By Parts/32 ‎ Created page with "<math> f'(x)= \int_{0}^{t} e^s sin(t-s) \cdot ds </math> <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> <math> u= e^s ~ ~ ~ ~ ~ dv=sin(t-s)dx ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ u=e^s ~ ~ ~ ~ ~ dv=cos(t-s)</math> <math>du= e^s ds~ ~ v=cos(t-s) ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ du=e^s ~ ~ ~ ~ ~ v=-sin(t-s)</math> <math>=\frac{32}{5} (\ln(2))^2 -\frac{64}{25} (\ln(2)) + \fr..."

23:0323:03, 26 November 2022 diff hist +8‎ 7.1 Integration By Parts/31 ‎No edit summary current
23:0023:00, 26 November 2022 diff hist +2,321‎ N 7.1 Integration By Parts/31 ‎ Created page with "<math> f'(x)= \int_{1}^{2} x^4(\ln(x))^2 \cdot dx </math> <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> <math> u= (\ln(x))^2 ~ ~ ~ ~ ~ dv=dx ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ u=\ln(x) ~ ~ ~ ~ ~ dv=x^4</m..."
22:2022:20, 26 November 2022 diff hist +1,631‎ 7.1 Integration By Parts/29 ‎No edit summary
22:2022:20, 26 November 2022 diff hist −1‎ 7.1 Integration By Parts/29 ‎No edit summary
22:1822:18, 26 November 2022 diff hist +164‎ 7.1 Integration By Parts/29 ‎No edit summary
20:5620:56, 26 November 2022 diff hist +6‎ 7.1 Integration By Parts/29 ‎No edit summary

20:2120:21, 18 November 2022 diff hist +308‎ N 7.1 Integration By Parts/29 ‎ Created page with "<math> f'(x)= \int_{}^{}\cos(x)ln(sin(x))\cdot dx </math> <math>\int_{}^{}\cos(x)ln(sin(x)\cdot dx=\int_{}^{}\ln(u)\cdot du</math> <math>u=sin(x)</math> <math> du=cos(x)dx</math> <math>=u \cdot ln(u)-u+c</math> <math>\text{Therefore, } f(x)=sin(x)ln(sin(x))-sin(x)+c</math>"

20:3520:35, 18 September 2022 diff hist +17‎ 6.1 Areas Between Curves/16 ‎No edit summary
20:3120:31, 18 September 2022 diff hist +1,304‎ N 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..."
20:1620:16, 18 September 2022 diff hist 0‎ N File:6.1.16 graph.png ‎No edit summary current
01:1201:12, 18 September 2022 diff hist +52‎ 6.1 Areas Between Curves/19 ‎No edit summary
00:5500:55, 18 September 2022 diff hist +149‎ 6.1 Areas Between Curves/19 ‎No edit summary