I need help with the following problem:

Consider the region T bounded by x=(y^3)+3, x=45-y,y=1, and y=3.

I am allowed to use the shell or washer method, whichever works.

a.) I need help setting up an integral required to find the volume of the solid obtained by revolving the region T about the line y=-1.

b.) I need help setting up an integral required to find the volume of the solid obtained by revolving the region T about the line x=50.

I'm not really sure how to even begin setting up a. I think to set up b you would use:

45

2PI∫ (50-x)(y^3 +3 -3) using the shell method. Have I set this

5

integral up right or have I done something wrong?

I only need help figuring out how to set up the integrals. Thanks to anyone who can help.