Chapter 8.7, Problem 11E

### 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

# Integration by Tables In Exercises 11 and 12, use a table of integrals with forms involving e u to find the indefinite integral. ∫ 1 1 + e 2 x d x

To determine

To calculate: The value of the indefinite integral 11+e2xdx using the table of integrals.

Explanation

Given: We are given with the Indefinite integral expression âˆ«11+e2xâ€‰dx.

Formula used:

We will use Formula 84 from the table of integrals:âˆ«11+eudu=uâˆ’ln|1+eu|+C

Calculation:

Compare the form of given Indefinite Integral with Formula 84 involving eu:âˆ«11+eudu=uâˆ’ln|1+eu|+C

We assume that u=2x

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