- #1
nautolian
- 34
- 0
Homework Statement
∫∫Se2x+3ydydx where S is the region |2x|+|3y|≤ 1
Homework Equations
The Attempt at a Solution
So I've done this two ways and gotten two different answers and I'm not sure which is right. I used change of variables where where u=3y+2x and v=3y-2x and I got an answer of 24(e-1/e) with a jacobian of 12 and my bounds from -1 to 1 for both u and v. Then I did it in x, y coordinates and I got 4 times the given integral from x=0 to 1/2 and y=0 to (1-2x)/3 and I got a final answer of 2/3, please help me know which one is right!?