# The integral value of the function f ( x ) between the interval ( 4 , 6 ) .

### Single Variable Calculus: Concepts...

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

### Single Variable Calculus: Concepts...

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

#### Solutions

Chapter 5, Problem 5RE
To determine

## The integral value of the function f(x) between the interval (4, 6).

Expert Solution

The integral value of the function f(x) between the interval (4,6) is 3.

### Explanation of Solution

Given Information:

The integral value of the function f(x) between the interval (0,6) is 10.

The integral value of the function f(x) between the interval (0,4) is 7.

Calculation:

The expression to find the value of the function f(x) between the interval (4,6) is shown below:

06f(x)dx=04f(x)dx+46f(x)dx46f(x)dx=06f(x)dx04f(x)dx (1)

Substitute 10 for 06f(x)dx and 7 for 04f(x)dx in Equation (1).

46f(x)dx=107=3

Therefore, the integral value of the function f(x) between the interval (4,6) is 3.

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