   Chapter 5.3, Problem 12E ### 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. ∫ ( x − 4 ) e x 2 − 8 x d x

To determine

To calculate: The indefinite integral (x4)ex28xdx.

Explanation

Given Information:

The provided indefinite integral is (x4)ex28xdx

Formula used:

The exponential rule of integrals:

eudu=eu+C

Calculation:

Consider the indefinite integral:

(x4)ex28xdx

Let u=x28x, then derivative will be,

du=d(x28x)=2(x4)dx

Rewrite the integral as:

12ex28x2(x4)dx

Substitute du for 2(x4)dx and u for (x28x) in provided integration

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