The following integrals cannot be evaluated by the usual methods of calculus. Evaluate them as indicated. Compare your value with that possibly given by your CAS. Si(x) is the sine integral. S(x) and C(x) are the Fresnel integrals. See App. A3.1. They occur in optics.

Si(1) by (2), n = 5, n = 10, and apply (5).

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sin x* -dx* , Si(x) ** sin (x**) dx*, S(x) : cos (x*) dx* C(x) = 0-