Let The sine integral function Si is an area function defined by Si(x) = x 0

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Let 

f(x) = sin.x X when x #0 when x = 0

The sine integral function Si is an area function defined by Si(x) = ∫0 ƒ(t) dt.
(a) Explain why Si has critical points at nπ for all nonzero integers n.

(b) Use Riemann sums to approximate Si(x) for x = π, 2π, . . . , 8π and sketch a graph of Si(x) for 0 ≤ x ≤ 8π.

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Related Book For  answer-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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