   Chapter 5.3, Problem 10E ### 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. ∫ 7 x 3 e 2 x 4 d x

To determine

To calculate: The indefinite integral 7x3e2x4dx.

Explanation

Given Information:

The provided indefinite integral is 7x3e2x4dx

Formula used:

The exponential rule of integrals:

eudu=eu+C

Calculation:

Consider the indefinite integral:

7x3e2x4dx

Let u=2x4, then derivative will be,

du=d(2x4)=8x3dx

Rewrite the integral by multiplying and dividing by 8 as:

78e2x4(8x3dx)

Substitute du for 8x3dx and u for 2x4 in provided integration

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