   Chapter 4.5, Problem 71E

Chapter
Section
Textbook Problem

# The following exercise are intended only for these who have already covered Chapter 6.Evaluate the integral. ∫ e x 1 + e x d x

To determine

To evaluate:

The given integral.

Explanation

1) Concept:

The substitution rule: If u=g(x) is a differentiable function whose range is I, and f is continuous on I, then f(gx)g'xdx=f(u)du. Here g(x) is substituted as u and then g(x)dx =du

2) Formula:

i.

cf(x)dx=cf(x)dx

ii.

xndx=xn+1n+1

3) Given:

ex1+ex dx

4) Calculation:

Consider the given integral ex1+ex dx

Here, we use the substitution method

Substitute 1+ex=u,

Differentiating with respect to x<

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find the derivative of the function. r(t)=10t2

Single Variable Calculus: Early Transcendentals, Volume I

#### In Exercises 2336, find the domain of the function. 31. f(x)=xx21

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### Which is the best graph of r = 1 − sin θ for 0 ≤ θ ≤ π?

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 