Question

Find the volume of the solid obtained by rotating the region bound by the given curves about the specified line. y=8x^3 y=0 x=1 about x=2

Please Help!

Answer 1

We have:

Answer 2

So then, if we move \(f(x)=8x^3\) over a unit to the left to become g(x) like so: \(g(x)=8(x+1)^3\), then we can simplify the problem to one about revolving the function g(x) about the y-axis!

Answer 3

h = f(x) = 8x^3
r = x+1