Question

Find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=5+x^6 about the x-axis.

Answer 1

This is what I have so far but it doesn't seem to work :/
Integral 2pi[(5x+(x^6))] from 0 to 1

Answer 2

you are using shell method...sort of?
I would use disk method since you are going around x

Answer 3

having a picture usually helps

Answer 4

you want the volume of this about the x-axis, so we have disks that look like this:so what is the radius of any given disk?