1) Rotate the graph 4x^5 about the line x = 1 and calculate the volume of the generated figure.

http://www.webassign.net/scalcet/6-2-019alt.gif

I assumed that the radius and then integrated from 0 to 1 and was going to double it

Which gives you

2) Rotated about y = 5. Find the volume

Washer method:

But that evaluates to 0, which doesn't make sense (and is also wrong).

Where did I go wrong on these?