6.2 Volumes/9: Difference between revisions
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<math>y^{2}=x, x=2y</math> | <math> | ||
<math>\int_{0}^{ | y^{2}=x, x=2y | ||
</math> | |||
<math> | |||
\begin{align} | |||
\int_{0}^{4}\pi [2y-y^2]dx &= \pi[2(4)-(4)^{2}] \\[2ex] | |||
&= \pi[8-16] \\[2ex] | |||
&= \frac{64\pi}{15} | |||
\end{align} | |||
</math> | |||
Latest revision as of 02:11, 16 December 2022
![{\displaystyle {\begin{aligned}\int _{0}^{4}\pi [2y-y^{2}]dx&=\pi [2(4)-(4)^{2}]\\[2ex]&=\pi [8-16]\\[2ex]&={\frac {64\pi }{15}}\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/c32b51ec9f0fdc8ae163a742a3400770da5a3fcd)