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Double integral help?

  1. May 7, 2013 #1
    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. jcsd
  3. May 7, 2013 #2
    Order of iteration in such a double integral does not matter.

    Edit: you're in the right direction.
    Last edited: May 7, 2013
  4. May 7, 2013 #3
    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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