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02 (10 points) Evaluate jg 1/(1'3 + 1)2dt, by considering a contour integral around a large slize of pizza that starts at the origin, proceeds

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02 (10 points) Evaluate jg\" 1/(1'3 + 1)2dt, by considering a contour integral around a large slize of pizza that starts at the origin, proceeds to R on the real axis, then to Rabi\"3 along a circular arc, and then back to the origin along a straight line. Your answer should be expressed as a rational number times mfg. Hint: you need to relate the integral of 1/(2A3+'l)"2 along the two line segments, and also show that the integral along the circular portion tents to 0 as R > 00. Then you need to compute the contribution from the residue at the point em\

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