Hi, the questions is to find the volume of the solid formed when the curve y=x^3 rotated about the y axis between y=0 and y=1. I am having trouble integrating once x^2 has been made the subject of the equation.

y=x^3

y/x=x^3/x

therefore

x^2=y/x

Is this right? If yes, how do you integrate an expression with both an x and y value? I haven't come across this before. Cheers