   Chapter 5.3, Problem 37E ### 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. ∫ e x 1 − e x   d x

To determine

To calculate: The indefinite integral ex1exdx.

Explanation

Given Information:

The provided indefinite integral is ex1exdx.

Formula used:

The general power rule of integrals:

undudxdx=un+1n+1+C

Calculation:

Consider the indefinite integral:

ex1exdx

Rewrite the integrand as:

ex1exdx=1exdx(ex)=(1ex)1/2dx.ex

Now apply, the general power rule of integrals:

(1ex)=tdifferentiate both side with respect to x=ddx(1ex

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Study Guide for Stewart's Multivariable Calculus, 8th 