5.5 The Substitution Rule/5: Difference between revisions
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<math> | <math> | ||
\int \cos^{3}{(\theta)}\sin{(\theta)}d{\theta)} \text{,} \quad u=\cos{(\theta)} | \int \cos^{3}{(\theta)}\sin{(\theta)}d{\theta)} \text{,} \quad u=\cos{(\theta)} | ||
</math> | |||
<math> | |||
\begin{align} | |||
u &=\cos{(\theta)} \\[2ex] | |||
du &=-\sin{(\theta)}d{(\theta)} \\[2ex] | |||
-du &=\sin{(\theta)}d{(\theta)} | |||
\end{align} | |||
</math> | </math> | ||
Revision as of 19:32, 22 September 2022
![{\displaystyle {\begin{aligned}u&=\cos {(\theta )}\\[2ex]du&=-\sin {(\theta )}d{(\theta )}\\[2ex]-du&=\sin {(\theta )}d{(\theta )}\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/e43c3b8a3210b14665689ce0e483eaeaf5313e33)