Question: Make your choice between the Cartesian and polar coordinate systems and evaluate the double integral R7e^x^2+y^2dA over the region R: the third-quadrant region of x^2+y^281.

Make your choice between the Cartesian and polar coordinate systems and evaluate the double integral R7e^x^2+y^2dA over the region R: the third-quadrant region of x^2+y^281. Write the exact answer. Do not round.

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