   Chapter 5.3, Problem 30E ### 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. ∫ e x 1 + e x d x

To determine

To calculate: The indefinite integral ex1+exdx.

Explanation

Given Information:

The provided indefinite integral is ex1+exdx.

Formula used:

The logarithmic rule of integrals:

duu=ln|u|+C

Calculation:

Consider the indefinite integral:

ex1+exdx

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

du=d(1+ex)=exdx

Rewrite the integrand as:

exdx1+ex

Substitute du for exdx and u for 1+ex in provided integration

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