Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.

Question

y = 4x⁴,  y = 4x,  x ≥ 0;    about the x-axis

Answer 1

The volume element is dv=π((4x)²-(4x²)²⁾dx and you have to integrate this from x=0 to x=1

I got v=-16π( x⁵/5 -x³/3)which has to be evaluated between 0 and 1.

Can you do that?

Jim