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 42E
To determine

To find: the value of 14f(x)dx

Expert Solution

Answer to Problem 42E

The value of 14f(x)dx is 14f(x)dx=8.4

Explanation of Solution

Given information:

  15f(x)dx=12 and 45f(x)dx=3.6

Concept Used:

  abf(x)dx=acf(x)dx+cbf(x)dxbaf(x)dx=abf(x)dx

Calculation:

Use abf(x)dx=acf(x)dx+cbf(x)dx

  14f(x)dx=15f(x)dx+54f(x)dx

Use baf(x)dx=abf(x)dx

  14f(x)dx=15f(x)dx45f(x)dx

Therefore, 15f(x)dx=12 and 45f(x)dx=3.6

  14f(x)dx=123.614f(x)dx=8.4

Hence,

The value of 14f(x)dx is 14f(x)dx=8.4

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