Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. If possible, find the volume of S by both the disk/washer and shell methods. Check that your results agree.

I have attached an image with the functions and the correct answers.

I have tried integrating this both as f(x) and f(y), but both lead me to have to take anti-derivatives that seem impossible with the calculus i have learned so far (u-substitution would not work).

I tried to type some of my work here, but when it posted it came out in a bunch of random letters and numbers and such.

Thank you for the help!