Compute the mass, centroid, and moments Ix, Iy and Io of the half-disk:
with density delta(x,y)=y
it is said we should know the primitive (sin(x))^n
or (cos(x))^n from Pi/2 to 0
Please see the attachment.
The region is , , which is upper half circle. ...
This shows how to compute the mass, centroid, and moments Ix, Iy and Io of the given half-disk.