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Double Integral over a Square Region

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) (1,-2) (3,-1) & (2,1) (My notes from class-uses substitution, change of variables)

I have let u=(2x-y) & v=(x+2y) using substitution (change of variables)

Solution Summary

A square is defined as a matrix of derivatives in this elegant solution to a double integral.