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 44E
To determine

To find: the value of 05f(x)dx

Expert Solution

Answer to Problem 44E

The value of the integral is 05f(x)dx=17 .

Explanation of Solution

Given information:

  f(x)={3for     x<3xfor    x3}

Concept Used:

  abf(x)dx=acf(x)dx+cbf(x)dx

Calculation:

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

  05f(x)dx=03f(x)dx+35f(x)dx

Therefore,

  f(x)={3for     x<3xfor    x3}05f(x)dx=033dx+35xdx05f(x)dx=9+805f(x)dx=17

Hence,

The value of the integral is 05f(x)dx=17 .

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