Explanation Formula used: Indefinite Integral using the Sine and Cosine Function: 1. ∫ sin x d x = − cos x + C 2. ∫ cos x d x = sin x + C Calculation: Obtain the value of the integral ∫ ( sin x ) 12 cos x d x as follows. Let u = sin x ; then d u = cos x d x . Substitute u = sin x in the given integral and rewrite it as, ∫ ( sin x ) 12 cos x d x = ∫ u 12 d u = u 13 13 + C = ( sin x ) 13 13 + C [ ∵ u = sin x ]

Calculus for Business Economics Life Sciences and Social Sciences Plus NEW

13th Edition

ISBN: 9780321925138

Author: Raymond Barnett

Publisher: PEARSON

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Chapter 8.3, Problem 13E

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To find: The value of the indefinite integral ∫(sinx)12 cosx dx.

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Chapter 8.3, Problem 12E

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Chapter 8 Solutions

Calculus for Business Economics Life Sciences and Social Sciences Plus NEW

Ch. 8.1 - Find the degree measure of 1 rad.Ch. 8.1 - Prob. 2MP Ch. 8.1 - Prob. 3MP Ch. 8.1 - Prob. 1ED Ch. 8.1 - Prob. 1E Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...

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The value of the indefinite integral ∫ ( sin x ) 12 cos x d x .

Solution Summary: The author explains how to find the value of the indefinite integral using the Sine and Cosine Function.

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To find: The value of the indefinite integral ∫(sinx)12 cosx dx.

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