Compute the area of the region bounded by the curves y=x^2, y=2, y=0

Question

Compute the area of the region bounded by the curves y=x^2, y=2, y=0

Answer 1

There are 2 ways to do this.

One is 4sqrt(2)-∫x² dx with lower limit -sqrt(2) and upper limit sqrt(2).

The other is ∫sqrt(y) dy from 0 to 2.