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    Use a transformation to evaluate the double integral of f(x,y) given by

    f(x,y)=cos(2x+y)sin(x-2y).

    over the square region with vertices at (0,0) P(1,-2) Q(3,-1) & R(2,1) (My notes from class-uses substitution, change of variables).

    Solution. Letting . Then . We know the equations for OP,OR,PQ and RQ are

    OP: 2x+y=0;
    OR:x-2y=0;
    PQ:x-2y=5;
    RQ:2x+y=5.

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    https://brainmass.com/math/integrals/transformation-evaluate-double-integral-14176

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    Please see the attached file for the full solution.

    Use a transformation to evaluate the double integral of f(x,y) given by

    f(x,y)=cos(2x+y)sin(x-2y).

    over the square region with vertices at O(0,0) P(1,-2) Q(3,-1) & R(2,1) (My notes ...

    Solution Summary

    The solution uses a transformation to evaluate the double integral.

    $2.49

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