   Chapter 5.3, Problem 40E ### 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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# Finding indefinite integrals In Exercises 31–46, use any basic integration formula or formulas to find the indefinite integral. State which integration formula(s) you used to find the integral. ∫ 2 ( e x − e − x ) ( e x + e − x ) 2   d x

To determine

To calculate: The indefinite integral 2(exex)(ex+ex)2dx.

Explanation

Given Information:

The provided indefinite integral is 2(exex)(ex+ex)2dx.

Formula used:

The general power rule of integrals:

undudx=un+1n+1+C

Calculation:

Consider the indefinite integral:

2(exex)(ex+ex)2dx

Rewrite the integrand as:

2(exex)(ex+ex)2dx=2d(ex+ex)(ex+ex)2=2(

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