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Consider the double integral R ???(? − ?) ???(? + ?) ?? ? where ? is...

Consider the double integral R ???(? − ?) ???(? + ?) ?? ? where ? is the triangle in the ??-plane with vertices at (0,0), (π, −π), , and (π. π).

a) Let ? = ? − ? and ? = ? + ?. Sketch the region of integration

b) Find ?(?, ?).

c) Use the change of variables to calculate the integration. (Hint: Trig functions are 2?-periodic and you will need half-angle identities at some point)

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