Search for a tool
Mean of a Function

Tool to compute the mean of a function in order to find the average value of its integral over a given interval.

Results

Mean of a Function -

Tag(s) : Mathematics

dCode and you

dCode is free and its tools are a valuable help in games, puzzles and problems to solve every day!
You have a problem, an idea for a project, a specific need and dCode can not (yet) help you? You need custom development? Contact-me!

Team dCode read all messages and answer them if you leave an email (not published). It is thanks to you that dCode has the best Mean of a Function tool. Thank you.

# Mean of a Function

## Mean of a Function Calculator

Tool to compute the mean of a function in order to find the average value of its integral over a given interval.

### How to compute the average value of a function?

Indicate the fonction with lower and upper bounds (that delimitate the interval) and the variable to integrate with. Symbolic values are allowed and included in the calculation.

dCode will compute the integral of the function and will find the average value using the formula :

$$\bar{f}=\frac{1}{b-a}\int_a^bf(x)\,dx$$

with $$\int^b_a f(x) \mathrm{ dx} = F(b)-F(a)$$

with $$F(x)$$ the primitive of $$f(x)$$

The integration calculation used in the mean function calculator uses the primitive calculator also proposed on dCode.