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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

    rock.freak667

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    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.

    Cheers,
    W. =)
     
  5. Mar 13, 2010 #4
    Very true. I got a triangle & J = -0.5717341110 using maple.
     
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