   Chapter 5.3, Problem 9E ### 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. ∫ 5 x 2 e x 3 d x

To determine

To calculate: The indefinite integral 5x2ex3dx.

Explanation

Given Information:

The provided indefinite integral is 5x2ex3dx

Formula used:

The exponential rule of integrals:

eudu=eu+C

Calculation:

Consider the indefinite integral:

5x2ex3dx

Let u=x3, then derivative will be,

du=d(x3)=3x2dx

Rewrite the integral by multiplying and dividing by 3 as:

53ex3(3x2dx)

Substitute du for 3x2dx and u for x3 in provided integration

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