Explanation Given Information: The function is ∫ e − x sin ( e − x ) d x . Formula Used: The following integration formula is used: ∫ sin x d x = − cos x + C The derivation formula, d d x e n x = n e n x , where n is all-natural numbers. Calculation: Consider the provided function ∫ e − x sin ( e − x ) d x . Replace the parenthetical expression with variable u . u = e − x Determine the derivative of u with respect to x. d u d x = d d x ( e − x ) d u d x = − e − x Determine the value of d x . d x = 1 − e − x d u Substitute the value of d x into the integral

7th Edition

ISBN: 9781337291248

Author: Waner, Stefan.

Publisher: Cengage Learning,

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Chapter 9.3, Problem 20E

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To calculate: The solution of the integral function ∫e−xsin(e−x)dx.

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Chapter 9.3, Problem 19E

Chapter 9.3, Problem 21E

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Chapter 9 Solutions

Applied Calculus

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The solution of the integral function ∫ e − x sin ( e − x ) d x .

Solution Summary: The author calculates the integral function displaystyle 'int', where n is all-natural numbers. Replace the parenthetical expression with variable u.

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To calculate: The solution of the integral function ∫e−xsin(e−x)dx.

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Chapter 9 Solutions