If you do not know what substitution to make, try reducing the integral step by step, using

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If you do not know what substitution to make, try reducing the integral step by step, using a trial substitution to simplify the integral a bit and then another to simplify it some more. You will see what we mean if you try the sequences of substitution.image


a. u = x - 1, followed by ν = sin u, then by w = 1 + ν2


b. u = sin (x - 1), followed by ν = 1 + u2


c. u = 1 + sin2 (x - 1)

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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