   Chapter 5.3, Problem 8E ### 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. ∫ 3 x e 5 x 2 d x

To determine

To calculate: The indefinite integral 3xe5x2dx.

Explanation

Given Information:

The provided indefinite integral is 3xe5x2dx

Formula used:

The exponential rule of integrals:

eudu=eu+C

Calculation:

Consider the indefinite integral:

3xe5x2dx

Let u=5x2, then derivative will be,

du=d(5x2)=10xdx

Rewrite the integral by multiplying and dividing by 10 as:

310e5x2(10xdx)

Substitute du for 10xdx and u for 5x2 in provided integration

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