1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Double integrals

  1. Mar 12, 2010 #1
    How do I find
    J := [tex]\int\int_U y cos(x + y) dA[/tex]
    where U = {(x,y) [tex]\in[/tex] R2 : 0 [tex]\leq[/tex] x [tex]\leq[/tex] 2, 1-x [tex]\leq[/tex] x [tex]\leq[/tex] -2 + 2x}.

    I drew the picture & i get 2 triangles but not sure what to do with them. Help please.
  2. jcsd
  3. Mar 12, 2010 #2


    User Avatar
    Homework Helper

    in rectangular coordinates, dA=dx dy, so the region U describes will give you the limits for the integral.
  4. Mar 12, 2010 #3
    I think you should only be getting one triangle. Try checking your picture against one generated by a graphing tool.

    W. =)
  5. Mar 13, 2010 #4
    Very true. I got a triangle & J = -0.5717341110 using maple.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Double integrals
  1. Double integration (Replies: 1)

  2. Double integral (Replies: 2)

  3. Double integration (Replies: 11)