Question

Find the area enclosed by the curves y=x^2 and x=y^2.

Thank you to any who helps

Answer 1

The curves intersect at (0,0) and (1,1). So the area
a = ∫[0,1] (√x - x^2) dx or ∫[0,1] (√y - y^2) dy
That's just a simple power rule, so crank it out.