   Chapter 5.4, Problem 36E ### 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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# Evaluating a Definite Integral In Exercises 17–38, evaluate the definite integral. See Examples 3 and 4. ∫ 0 3 e − x e − x + 1   d x

To determine

To calculate: The value of the definite integral 03exex+1dx.

Explanation

Given Information:

The definite integral:

03exex+1dx

Formula used:

The fundamental theorem of calculus describes a way of evaluating a definite integral,

abf(x)=F(x)]ab=F(b)F(a).

Where, a and b are the limits of the definite integral.

Calculation:

Consider the definite integral,

03exex+1dx

Apply the fundamental theorem of calculus below as,

01exex+1dx=03(ex+1)1/2(

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