Explanation Given: ∫ 5 sin ( 2 x + 1 ) d x Formula used: a 0 = 1 Integration formulas: ∫ sin x d x = − cos x + C Calculation: ∫ 5 sin ( 2 x + 1 ) d x .... ( a ) Let 2 x + 1 = t .... ( i ) Differentiate equation ( i ) with respect to x , ⇒ 2 d x = d t ⇒ d x = d t 2 .... ( i i ) Substituting equation ( i ) and equation ( ii ) in equation ( a ), ⇒ ∫ 5 sin ( t ) d t 2 ⇒ 5 2 ∫ sin t d t Applying integration formulas, ⇒ 5 2 ( − cos t ) + C [

14th Edition

ISBN: 9781464151088

Author: Associate Professor Laura Taalman, Peter Kohn

Publisher: W.H. Freeman & Company

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Chapter 4.4, Problem 30S

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To find the integral of ∫5sin(2x+1) dx.

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Chapter 4.4, Problem 29S

Chapter 4.4, Problem 31S

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To find the integral of ∫ 5 sin ( 2 x + 1 ) d x .

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