1. The problem statement, all variables and given/known data Find the centroid of the shape formed by the equation y2=x3-x4, the x-axis, and the y-axis. 2. Relevant equations A=∫f(x)dx Mx=∫(1/2)[f(x)]2dx My=∫x[f(x)]dx 3. The attempt at a solution I'm stuck on the integral. I attempted u-substitution and got du=(1/2)(x3-x4)-1/2dx; "parts," trigonometric substitution/identities, and partial fractions don't seem to apply.