Solved: Find the Maclaurin series by tennwise integrating the integrand. (The integrals
Chapter 15, Problem 15.1.86(choose chapter or problem)
Find the Maclaurin series by termwise 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 \({ }^{4}\) S(z) and C(z), which occur in statistics, heat conduction, optics, and other applications. These are special so-called higher transcendental functions.)
\(\mathrm{C}(z)=\int_{0}^{z} \cos t^{2} d t\)
Text Transcription:
^4
C(z) = int_{0}^{z} cos t^{2} dt
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