   Chapter 5.3, Problem 5E ### 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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# Integrating an Exponential Function In Exercises 1–12, find the indefinite integral. See Examples 1, 2, and 3. ∫ e 5 x − 3 d x

To determine

To calculate: The indefinite integral e5x3dx.

Explanation

Given Information:

The provided indefinite integral is e5x3dx

Formula used:

The exponential rule of integrals:

eudu=eu+C

Calculation:

Consider the indefinite integral:

e5x3dx

Let u=5x3, then derivative will be,

du=d(5x3)=5dx

Rewrite the integral by multiplying and dividing by 5 as:

15e5x3(5dx)

Substitute du for 5xdx and u for (5x3) in provided integration

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