Find the Maclaurin series by tennwise integrating the

Chapter 15, Problem 15.4

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Find the Maclaurin series by tennwise integrating the integrand. (The integrals cannot be evaluated by the usual methods of calculus. They define the error function erf z, sine integral Si(z). and Fresnel integrals4 S(z) and C(z). which occur in statistics, heat conduction. optics, and other applications. These are special so-called higher transcendental functions.)

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