Find the Maclaurin series by term wise integrating the integrand. (The integrals cannot be evaluated by the

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Find the Maclaurin series by term wise 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 integrals 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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