Chapter 14.1, Problem 55E

Changing the Order of Integration In Exercises 51-60, sketch the region R whose area is given by the iterated integral. Then change the order of integration and show that both orders yield the same area.

${\displaystyle {\int }_0^1{\displaystyle {\int }_{-\sqrt{1-y^2}}^{\sqrt{1-y^2}}dxdy}}$