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 33E
To determine

To Find: The integral of 03(12x1)dx

Expert Solution

Answer to Problem 33E

The integral of 03(12x1)dx=0.75

Explanation of Solution

Given information:

The integral is:

  03(12x1)dx

Calculation:

The graph of f(x)=x21 is shown in the figure

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 5.2, Problem 33E

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

  03(12x1)dx=A1A2A1+A2=12×2×1+12×1×0.5A1+A2=0.7503(12x1)dx=0.75

Hence,

The integral of 03(12x1)dx=0.75

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