   Chapter 5.3, Problem 21E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Using the log Rule for integration In Exercises 13–30, find the indefinite integral. See Examples 4, 5, and 6. ∫ x x 2 + 1   d x

To determine

To calculate: The indefinite integral xx2+1dx.

Explanation

Given Information:

The provided indefinite integral is xx2+1dx

Formula used:

The logarithmic rule of integrals:

duu=ln|u|+C

Calculation:

Consider the indefinite integral:

xx2+1dx

Let u=x2+1, then derivative will be,

du=d(x2+1)=2xdx

Rewrite the integrand as:

122xdx7x+2

Substitute du for 2xdx and u for x2+1 in provided integration

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