About finding the rotational volume
A closed area of y-axis, $y=\pi, y=x+sin(x)$ is rotated on line y=x. Find
the volume of it.
So, I think I have to do an integral looks like this.
$V=\int_{0}^{\sqrt2 \pi} \pi r^2 dt$, where r is the radius of disk and t
is a variable on line y=x.
How should I set up the integral and change the variables?
Thank you.
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