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 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: $\displaystyle u = y - x$ and $\displaystyle v = y + x$.
You get a nice region in the uv-plane and the integrations appear straightforward. Don't forget to include the Jacobian of the transformation.