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• 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...")