Question

Sketch the region of integration and change the order of integration

Answer 1

\[\int\limits_{0}^{1} \int\limits_{4x}^{4} f(x, y)dydx\]

Answer 2

The region is a right triangle bounded by y=4, y=4x, x=0. Changing the order:

\[\int\limits_{0}^{4}\int\limits_{0}^{y/4}f(x,y)dxdy\]