BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 5.2, Problem 37E
To determine

To Find: The integral of 12|x|dx

Expert Solution

Answer to Problem 37E

The integral of 12|x|dx=2.5

Explanation of Solution

Given information:

The integral is:

  12|x|dx

Calculation:

The integral is:

  12|x|dx

The graph of f(x)=|x| is shown in the figure

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 5.2, Problem 37E

Compute the integral as the difference of the area of the two triangles

  12|x|dx=A1+A212|x|dx=12+212|x|dx=2.5

Hence,

The integral of 12|x|dx=2.5

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