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Double integral help?

  • Thread starter asdf12312
  • Start date
  • #1
199
1
double integral help??

Homework Statement


Evaluate the double integral

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

Homework Equations





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:

Answers and Replies

  • #2
117
2
Order of iteration in such a double integral does not matter.

Edit: you're in the right direction.
 
Last edited:
  • #3
199
1
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
 

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