Example 5-6-2 - Maple Help
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Chapter 5: Double Integration

Section 5.6: Changing Variables in a Double Integral

Example 5.6.2

Let R be the interior and boundary of the parallelogram formed by the lines x+y=0, x+y=2, 2 y3 x=0, 2 y3 x=7.


Integrate fx,y=x+y2 over R, noting that it takes three iterations to cover R.


Make the change of variables u=x+y, v=2 y3 x and evaluate the integral of f over the image of R under this change of variables.

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