# Double integral help?

1. May 7, 2013

### asdf12312

double integral help??

1. The problem statement, all variables and given/known data
Evaluate the double integral

| | e^sin(x) dA
over the region
D = {(x,y) | 0 ≤ x ≤ π/2, 0 ≤ y ≤ cosx} .

2. Relevant equations

3. The attempt at a solution
how would i do this? i know that dA = dy(dx) so the integral would be
|(0 ≤ x ≤ π/2) |(0 ≤ y ≤ cosx) (e^sin(x) dy) dx

would i have to switch the integration? so it would be dx(dy) instead? or could i just integrate it with respect to dy and say it is y*e^sin(x)?

Last edited: May 7, 2013
2. May 7, 2013

### hsetennis

Order of iteration in such a double integral does not matter.

Edit: you're in the right direction.

Last edited: May 7, 2013
3. May 7, 2013

### asdf12312

OK, then i guess the rest is easy. i did get y*e^sin(x) when i integrated with respect to dy and my final answer was e1 - e0 = 1.718