Hi, I need someone to double check my answer because it doesn't seem right to me.

Question

Find the centroid of the region bounded by y=0 and y = x^2 -2x.

I calculated the area to be 4/3
and centroid (1, 0.4)... is that correct? Thanks in advance!

Answer 1

For 0<x<2, y<0.
Correct answer is (1,-0.4)