User contributions for Johnny C.

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30 November 2022

29 November 2022

  • 05:5205:52, 29 November 2022 diff hist +273 7.1 Integration By Parts/45No edit summary
  • 05:4805:48, 29 November 2022 diff hist +1,765 N 7.1 Integration By Parts/45Created page with "<math> \begin{align} & \int_{0}^{\frac{\pi}{2}} sin^n(x) dx = \frac{n-1}{n} \int_{0}^{\frac{\pi}{2}} sin^{n-2} (x) dx \\[2ex] &= -\frac{1}{n} cos(x) sin^{n-1} (x) + \frac{n-1}{n} \bigg|_{0}^{\frac{\pi}{2}} \int_{0}^{\frac{\pi}{2}} sin^{n-2}(x) dx \\[2ex] &= -\frac{1}{n} cos(\frac{\pi}{2}) sin^{n-1} (\frac{\pi}{2})+ \frac{n-1}{n} \int_{0}^{\frac{\pi}{2}} sin^{n-2}(x) dx \\[2ex] &= -\frac{1}{n} (0) (1) + \frac{n-1}{n} \int_{0}^{\frac{\pi}{2}} sin^{n-2}(x) dx \\[2ex] &..."

28 November 2022

  • 05:2605:26, 28 November 2022 diff hist +165 N 7.1 Integration By Parts/52Created 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>" current
  • 05:2205:22, 28 November 2022 diff hist +761 N 7.1 Integration By Parts/35Created 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..." current

20 September 2022

19 September 2022

4 September 2022

25 August 2022

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