6.2 Volumes/15: Revision history

13 December 2022

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• curprev 17:0517:05, 13 December 2022‎ Cynthiac61995@students.laalliance.org talk contribs‎ 357 bytes +357‎ Created page with "<math> x=y^2, x=1; \text{about x=1} </math> <math> \begin{align} \pi\int_-1^1\left(1-y^2\right)^2 dy &= \pi\int_-1^1\left(1-2y^2+y^4\right)dy \\[2ex] &= \pi\left[y-\frac{2}{3}y^3+\frac{y^5}{5}\right]\Bigg|_-1^1 \\[2ex] &= \pi\left[1+\frac{2}{3}+\frac{1}{5}\right]- \pileft[-1+\frac{2}{5}-\frac{1}{5}\right] \\[2ex] &= \frac{16\pi}{15} \end{align} </math>"