Hello,Originally Posted bydadon

to a)

The coordinates of a centroid which is bounded "at the top" by the curve f and is bounded "at the bottom" by the curve g can be calculated like this:

and

With your problem

f(x) = 4

g(x) = x^2

b = -2

a = 2

Plug in all values you got, calculate the integrals and you'll get

I've attached a diagram to show the situation.

Greetings

EB