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1. Prove that sin (x2 ) da = cos(x ) dx = V2x 4 These are the Fresnel integrals. Here, Jo is interpreted as lime-.

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1. Prove that sin (x2 ) da = cos(x ) dx = V2x 4 These are the Fresnel integrals. Here, Jo is interpreted as lime-. for. Hint: Integrate the function e- over the path in Figure 14. Recall that Rell O R Figure 14. The contour in Exercise 1

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