Explanation Given information: Given expression is ∫ y 5 − y d y . Calculation: According to integration by parts, ∫ u v ' = u v − ∫ u ' v Here, u = y , v ' = 1 5 − y Consider, u = y Differentiating both sides with respect to y , u ' = d d y ( y ) u ' = 1 Consider, v ' = 1 5 − y Integrating both sides, ∫ v ' = ∫ 1 5 − y d y ∫ v ' = ∫

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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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 9P

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Chapter 6 Solutions

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Chapter 6 Solutions