Volume of solids of revolution
The area bounded by the parabola y =2x -x^2, the y-axis and the line y=1 is rotated about the x-axis. Find the volume generated.
So since it's asking about the revolution when that region is rotated about the x-axis, I set a=0 and b=1
and y^2= 4x^2-4x^3+x^4
so...