What differentiable functions have an arc length on the interval [a, b] given by the following integrals?

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What differentiable functions have an arc length on the interval [a, b] given by the following integrals? Note that the answers are not unique. Give a family of functions that satisfy the conditions.

a.V1 + 16x4 dx

b.Vi+ 36 сos? 2х dx

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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