(a) Explanation Given: The provided integral is ∫ 1 x 2 ( x − 1 ) d x . Formula used: From the integration tables, ∫ 1 u 2 ( a + b u ) d u = − 1 a ( 1 u + b a ln | u a + b u | ) + C Calculation: Here, a = − 1 , b = 1 ∫ 1 x 2 ( x − 1 ) d x = − 1 </ (b) To determine To calculate: The integral ∫ 1 x 2 ( x − 1 ) d x by using partial fraction.

Calculus: Early Transcendental Functions

7th Edition

ISBN: 9781337552516

Author: Ron Larson, Bruce H. Edwards

Publisher: Cengage Learning

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Chapter 8.7, Problem 17E

(a)

To determine

To calculate: The integral ∫1x2(x−1)dx by using table of integrals.

(b)

To determine

To calculate: The integral ∫1x2(x−1)dx by using partial fraction.

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Chapter 8.7, Problem 16E

Chapter 8.7, Problem 18E

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Chapter 8 Solutions

Calculus: Early Transcendental Functions

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The integral ∫ 1 x 2 ( x − 1 ) d x by using table of integrals.

Solution Summary: The author explains how to calculate the integral by using the table of integrals.

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To calculate: The integral ∫1x2(x−1)dx by using table of integrals.

To calculate: The integral ∫1x2(x−1)dx by using partial fraction.

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Chapter 8 Solutions