Find the centroid of the region bounded by the curve x=2-y^2 and the y-axis

A= integral of (2-y^2)dy from 0 to 1

M_y= (1/2) integral of (2-y^2)^2 dy from 0 to 1

M_x= integral of (y)(2-y^2)dy from 0 to 1

x= (M_y)/A

y= (M_x)/A

centroid is (x,y)

I'm sure I may have made some mistakes in my integration set up for A,M_x,M_y please help

## Bookmarks