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 36E
To determine

To Find: The integral of 13(32x)dx

Expert Solution

Answer to Problem 36E

The integral of 13(32x)dx=4

Explanation of Solution

Given information:

The integral is:

  13(32x)dx

Calculation:

  13(32x)dx

The graph of f(x)=32x is shown in the figure

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 5.2, Problem 36E

  13(32x)dx

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

  13(32x)dx=A1A213(32x)dx=12×25×512×15×313(32x)dx=4

Hence,

The integral of 13(32x)dx=4

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