Disc Method: Revolving Around Other Axes Practice Test

$V=\pi\int_{0}^{2}\Big(\big(2-\arccos y\big)^2-\big(2-0\big)^2\Big),dy$

$V=\pi\int_{0}^{\pi/2}\Big(\big(\cos x-2\big)^2-\big(0-2\big)^2\Big),dx$

$V=\pi\int_{0}^{\pi/2}\big(\cos x\big)^2,dx$

$V=\pi\int_{0}^{\pi/2}\big(2-\cos x\big)^2,dx$

$V=\pi\int_{0}^{\pi/2}\Big(\big(2-0\big)^2-\big(2-\cos x\big)^2\Big),dx$