a. Evaluate the integral \int e^z/((z^2+pi)^2) where the integral is the circle of radius 4 centered at the origin. b. Evaluate the integral \int 1/((z^2+1)(z^2-1)) where the integral is the circle of radius 2 centered at the origin.
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Originally Posted by shaheen7 a. Evaluate the integral \int e^z/((z^2+pi)^2) where the integral is the circle of radius 4 centered at the origin. b. Evaluate the integral \int 1/((z^2+1)(z^2-1)) where the integral is the circle of radius 2 centered at the origin. Use the residue theorem So the function has two poles of order 2. So we need to calculate the residues at So to calculate at we have Now you compute the other one and remember that the answer is at all of the poles in the contour.
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