The function is called the sine integral function. a. Expand the integrand in a Taylor series about

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The function sin t dt Si(x) = is called the sine integral function.

a. Expand the integrand in a Taylor series about 0.

b. Integrate the series to find a Taylor series for Si.

c. Approximate Si(0.5) and Si(1). Use enough terms of the series so the error in the approximation does not exceed 10-3.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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