Pearson eText for Calculus & Its Applications -- Instant Access (Pearson+)

14th Edition

ISBN: 9780137400096

Author: Larry Goldstein, David Lay

Publisher: PEARSON+

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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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Textbook Question

Chapter 9.5, Problem 1CYU

The integral formula ∫ ( a t + b ) e − r t d t = e − r t [ − 1 r ( a t + b ) − a r 2 ] + C ( r ≠ 0 ) is used in many applications in this section. Derive it using integration by parts.

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Chapter 9.4, Problem 42E

Chapter 9.5, Problem 1E

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Chapter 9 Solutions

Pearson eText for Calculus & Its Applications -- Instant Access (Pearson+)

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The integral formula ∫ ( a t + b ) e − r t d t = e − r t [ − 1 r ( a t + b ) − a r 2 ] + C ( r ≠ 0 ) is used in many applications in this section. Derive it using integration by parts.

Solution Summary: The author explains how the integral formula displaystyle is the product of two functions.

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Chapter 9 Solutions