Explanation Given information: Given expression is ∫ t e 5 t d t . Calculation: According to integration by parts, ∫ u v ' = u v − ∫ u ' v Here, u = t , v ' = e 5 t Consider, u = t Differentiating both sides with respect to t , u ' = d d t ( t ) u ' = 1 Consider, v ' = e 5 t Integrating both sides, ∫ v ' = ∫ e 5 t d t v = 1 5 e 5 t Plugging the values in the integral, ∫ t e 5 t d t = t ( 1 5 e 5 t ) −

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Chapter 6.7, Problem 1P

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To find the given integral.

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