Washer Method: Revolving Around Other Axes Practice Test

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

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

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

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

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