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complex analysis onus: Prove that/sin(H)dr=「cos(r2)dr= 0 Hint: Use a closed sector contour as in the previous exercise, but with angle instead. The value of the Gaussian integral will prove usef...
(a) Use complex integration techniques to evaluate the integral Consider a sector contour of the form shown below, whose angle θ may depend on n. As part of your solution, consider that for n 3, if , then the integral on the straight arm of argument can be evaluated using the parametrization z = rei2/3,0 < r < R, to be ežri3 dr dx re (b) Conditions on convergence of rational integrals (i) Find the real number a such that...