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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.

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Mean of a Function -

Tag(s) : Mathematics

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Mean of a Function

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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.

Answers to Questions

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 integralhref 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 primitivehref of \( f(x) \)

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

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