Question: Please prove the following problem from complex analysis. 1. Prove that sin(x ) dx = cos(x2 ) dac = V27 4 These are the Fresnel

Please prove the following problem from complex analysis.

1. Prove that sin(x ) dx = cos(x2 ) dac = V27 4 These are the Fresnel integrals. Here, So is interpreted as lime . for. [Hint: Integrate the function e-2 over the path in Figure 14. Recall that [ ex dx = VT.] Rel 4 O R Figure 14. The contour in Exercise 1

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