Volume of shell by integration I came across this question in my textbook:
What's the volume generated by rotation of the intersected area between the two curves $Y=X^5$ and $Y=X$ around the axis $X=-1$?
My main problem is the value of r with which I should substitute in the shell formula $dv=2πrhdt$. I believe it should be ($r=x+1$) while my text book substitutes ($r=x$).
Any help would be appreciated!

$r$ is the distance from the axis of rotation, and so it is $x+1$ (and $h = x-x^5$). You could use $r=x$ if you compensated for this horizontal shift elsewhere, but I don't know if that's what your book did.
