6.2 Volumes/25: Difference between revisions
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<math> | <math> | ||
\pi\int_0^1\left[(1)^2-(y^2)^2\right]dy = \pi\left[y-\frac{y^5}{5}\right]\Bigg|_0^1 = \pi\left[1-\frac{1}{5}\right]=\frac{4\pi}{5} | \pi\int_0^1\left[(1)^2-(1-y^2)^2\right]dy = \pi\left[y-\frac{y^5}{5}\right]\Bigg|_0^1 = \pi\left[1-\frac{1}{5}\right]=\frac{4\pi}{5} | ||
</math> | </math> | ||
Revision as of 02:51, 12 September 2022
![{\displaystyle \pi \int _{0}^{1}\left[(1)^{2}-(1-y^{2})^{2}\right]dy=\pi \left[y-{\frac {y^{5}}{5}}\right]{\Bigg |}_{0}^{1}=\pi \left[1-{\frac {1}{5}}\right]={\frac {4\pi }{5}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/cf94429300c4c7db5c9814f34016d59391102ac8)