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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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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.

9 x e 2 x 2 d x

To determine

To calculate: The indefinite integral 9xe2x2dx.

Explanation

Given Information:

The provided indefinite integral is 9xe2x2dx

Formula used:

The exponential rule of integrals:

eudu=eu+C

Calculation:

Consider the indefinite integral:

9xe2x2dx

Let u=2x2, then derivative will be,

du=d(2x2)=4xdx

Rewrite the integral by multiplying and dividing by 4 as:

94e2x2(4xdx)

Substitute du for 4xdx and u for (2x2) in provided integration

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