   Chapter 5.5, Problem 25E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Evaluate the indefinite integral. ∫ e x 1 + e x d x

To determine

To evaluate: The indefinite integral.

Explanation

Given:

The indefinite integral function is ex1+exdx.

Calculation:

Consider u=1+ex

Differentiate both side of the Equation.

du=exdxdx=1exdu

The indefinite integral function is,

ex1+exdx (1)

Substitute u for (1+ex) and (1exdu) for dx in Equation (1).

ex1+exdx=exu(1exdu)=udu (2)

Integrate Equation (2)

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