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Homework Help: Calculus 3 change of variables

  1. Apr 10, 2016 #1
    1. The problem statement, all variables and given/known data
    Use the change of variables to evaluate the integral
    (x +y ) sin(x -y )dA, where R is the
    region enclosed by y = x, y = x - 2, y = -x and y = -x + 1. (Hint: use u = x + y and
    v = x - y

    2. Relevant equations

    3. The attempt at a solution
    Not sure how to start it
  2. jcsd
  3. Apr 10, 2016 #2
    Draw the region in the xy plane and then draw the region in the uv plane to determine bounds. From there, use the standard change of variables...
  4. Apr 10, 2016 #3
    okay i think thats where i am having trouble. I an not good at drawing the graph
  5. Apr 11, 2016 #4


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    Homework Helper

    You have to draw the boundary lines. Don't say that you can not draw the lines y = x, y = x - 2, y = -x, and y = -x + 1 !
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