1) Rotate the graph 4x^5 about the line x = 1 and calculate the volume of the generated figure.
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
But that evaluates to 0, which doesn't make sense (and is also wrong).
Where did I go wrong on these?