Question

Use the indicated change of variables to evaluate the double integral.

Answer 1

Step 1:

Formula:

The change of variables are and .

Find the Jacobian :

Step 2:

Find the limits by using graph.

The equations are .

By solving given two equations, and .

Solution of the equations (1) and (2).

Solution of the equations (3) and (4).

The bounds for region in the plane and .

Step 3:

Solution:

.