Washer Method: Revolving Around Other Axes Practice Test

$V=\pi\displaystyle\int_{-1}^{1}\Big[(1-x^2-3)^2-(0-3)^2\Big]dx$

$V=\pi\displaystyle\int_{-1}^{1}\Big[(0+3)^2-(1-x^2+3)^2\Big]dx$

$V=\pi\displaystyle\int_{-1}^{1}\Big[(1-x^2)^2-0^2\Big]dx$

$V=\pi\displaystyle\int_{-1}^{1}\Big[(1-x^2+3)^2-(0+3)^2\Big]dx$

$V=\pi\displaystyle\int_{0}^{1}\Big[(3)^2-(3-y)^2\Big]dy$