(Rectangular rule) Evaluate the integral in Example I by the rectangular rule (1) with a
Chapter 19, Problem 19.1.88(choose chapter or problem)
The following integrals cannot be evaluated by the usual methods of calculus. Evaluate them as indicated.
\(\mathrm{Si}(x)=\int_{0}^{x} \frac{\sin x^{*}}{x^{*}} d x^{*},\)
\(\mathrm{~S}(x)=\int_{0}^{1} \sin \left(x^{*}\right) d x^{*} . \quad \mathrm{C}(x)=\int_{0}^{x} \cos \left(x^{*}\right) d x^{2}\)
Si(x) is the sine integral. S(x) and C(x) are the Fresnel integrals. (See App. 3.1.)
C(1.25) by (7), 2m = 10
Text Transcription:
Si(x) = int_{0}^{x} sin x* / x* dx*
S(x) = int_{0}^{1} sin (x*) dx*, C(x) = int_0^x cos (x*) dx^2
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