   Chapter 6.2, Problem 16QY ### 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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# In Exercises 16-21, use integration by parts or the integration table in Appendix C to evaluate the definite integral. ∫ − 2 0 x e x / 2 d x

To determine

To calculate: The solution of definite integral 20xex/2dx.

Explanation

Given Information:

The expression is provided as, 20xex/2dx.

Formula used:

The formula 37 for integral ueudu is:

ueudu=(u1)eu+C

Calculation:

Let u=x2.

Differentiate the above function with respect to x,

du=12dx

Consider the provided expression,

20xex/2dx

Multiply and divide by 4.

20xex/2dx=42014xex/2dx=420(x2)(ex/2)12dx

Substitute u for x2, and du for 12dx

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