Evaluate using the substitution x = 2 tan -1 . The identities sin x = 2 sin

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Evaluate dx 1 + sin x + cos x

using the substitution x = 2 tan-1 θ. The identities sin x = 2 sin x/2 cos x/2 and cos x = cos2 x/2 - sin2 x/2 are helpful.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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