7.1 Integration By Parts/30: Difference between revisions
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<math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \int_{0}^{1}r^{3}\cdot \frac{1}{\sqrt{4+r^{2}}}\cdot dr </math> | <math> \int_{0}^{1}\frac{r^{3}}{\sqrt{4+r^{2}}}\cdot dr ~~~ = ~~~ \int_{0}^{1}r^{3}\cdot \frac{1}{\sqrt{4+r^{2}}}\cdot dr </math> | ||
<math> | |||
\begin{align} | |||
u &= \arcsin {x} | |||
\\[2ex] | |||
du &= \frac{1}{\sqrt{1-x^2}}\;dx \\[2ex] | |||
\end{align} | |||
</math> | |||
Revision as of 11:46, 29 November 2022
![{\displaystyle {\begin{aligned}u&=\arcsin {x}\\[2ex]du&={\frac {1}{\sqrt {1-x^{2}}}}\;dx\\[2ex]\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/b4508e836235d223e2f8c84c555442628b62e838)