# Average Value Of A Function Calculator

## Now, What Exactly Is A “Average Value Of A Function Calculator”?

A average value of a function calculator is a tool that helps you find the value of a function at a certain point by taking the average of all the values of the function at that point.

## Free Average Value of a Function Calculator With Steps

This is a very simple tool for Average Value of a Function Calculator. Follow the given process to use this tool.

☛ Step 1: Enter the complete equation/value in the input box i.e. across “Provide Required Input Value:”

☛ Step 2: Click “Enter Solve Button for Final Output”.

☛ Step 3: After that a window will appear with final output.

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## Formula for average value of a function

To calculate the average value of a function, integrate the function over the given interval and divide by the length of the interval.

## Average Value Of A Function Definition

The average value of a function is the arithmetic mean of the function’s values over a given interval.

## Example of average value of a function based on Formula

The average value of a function over a certain interval is given by the formula:

f(x) = (1/b-a) ∫a b f(x) dx

where a and b are the endpoints of the interval, and f(x) is the function being averaged.

For example, if the function being averaged is f(x) = x2 over the interval from a = 0 to b = 1, then the average value of the function is given by f(x) = (1/b-a) ∫a b f(x) dx = (1/1-0) ∫0 1 x2 dx = (1/1) ∫0 1 x2 dx = ∫0 1 x2 dx = 1/3.