(850, #37) Sketch the region of integration and change the order of integration for

.

Solution: The domain for the integral of the problem is labeled below.
For fixed y, x is ranging from y/2 to 2.

When we reverse the order of integration we hold x fixed, with x between 0 and 2, and y ranges from 0 to 2x.

Thus the reversed integral is .

No Maple Code for this problem.

by: gm