Chapter 8.7, Problem 17E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Using Two Methods in Exercises 15-18, find the indefinite integral (a) using a table of integrals and (b) using the given method.Integral Method ∫ 1 x 2 ( x − 1 ) d x Partial fractions

(a)

To determine

To calculate: The integral 1x2(x1)dx by using table of integrals.

Explanation

Given:

âˆ«1x2(xâˆ’1)dx

Formula used:

From the integration tables,

âˆ«1u2(a+bu)du=âˆ’1a(1u+baln|ua+bu|)+C

Calculation:

Let a=âˆ’1,b=1

âˆ«1x2(xâˆ’1)dx=âˆ’1

(b)

To determine

To calculate: The integral 1x2(x1)dx by using partial fraction.

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