Question

Find the area of the region bounded by the curves y = x^–1/2, y = x^–2, y = 1, and y = 3.

Answer 1

I should suppose you were given a formula to do that, because doing it through integration and area manipulation is going to take a very, very long time. Here is the graph, and the shaded area is what you have to find.

Answer 2

Change the y=f(x) into x=f(y) and then integrate (limits of integration will then be 1<=y<=3).