   Chapter 6.2, Problem 32E ### 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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# Using Integration Tables In Exercises 9–36, use the integration table in Appendix C to find the indefinite integral. See Examples 1, 2,3, and 5. ∫ x e x 2 d x

To determine

To calculate: The solution of indefinite integral xex2dx.

Explanation

Given Information:

The integral is provided as, xex2dx.

Formula used:

The formula for integral eudu is,

eudu=eu+C

Calculation:

Let u=x2.

Differentiate on both side with respect to x,

du=2xdx

Consider the provided integral,

xex2dx

Multiply and divide by 2.

xex2dx=122xex2dx=12(ex2)2xdx

Substitute u for x2, and du for 2xdx

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