Thread: help evaluating an integral

How would you solve this question?
Evaluate ∫∫ e* (y-x)/(y+x)dxdy over the region in the xy plane bounded by x + y = 4, x + y = 2, the x-axis and the y-axis.

How would you draw ?

Originally Posted by student123

How would you solve this question?
Evaluate ∫∫ e* (y-x)/(y+x)dxdy over the region in the xy plane bounded by x + y = 4, x + y = 2, the x-axis and the y-axis.

How would you draw ?

I suggest a change of variable: and .

You get a nice region in the uv-plane and the integrations appear straightforward. Don't forget to include the Jacobian of the transformation.