Explanation Given information: Given expression is ∫ t sin t d t . Calculation: According to integration by parts, ∫ u v ' = u v − ∫ u ' v Here, u = t , v ' = sin t Consider, u = t Differentiating both sides with respect to t , u ' = d d t ( t ) u ' = 1 Consider, v ' = sin t Integrating both sides, ∫ v ' = ∫ sin t d t v = − cos

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence t…

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.

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Chapter 6.7, Problem 13P

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To find the given integral.

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Chapter 6.7, Problem 12P

Chapter 6.7, Problem 14P

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Chapter 6 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

Ch. 6.1 - Prob. 1P Ch. 6.1 - Prob. 2P Ch. 6.1 - Prob. 3P Ch. 6.1 - Prob. 4P Ch. 6.1 - Prob. 5P Ch. 6.1 - Prob. 6P Ch. 6.1 - Prob. 7P Ch. 6.1 - Prob. 8P Ch. 6.1 - Prob. 9P Ch. 6.1 - Prob. 10P

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To find the given integral.

Solution Summary: The author explains how to determine the given integral by plugging the values in the integral.

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To find the given integral.

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Chapter 6 Solutions