Average Value of a Function
For $$f(x)$$ continuous on $$[a,b]$$:
$$f_{\mathrm{avg}}=\frac{1}{b-a}\int_a^bf(x)\,dx$$
Usage
- Used to find the mean value of a continuous quantity over an interval.
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CAT Formulas
Indefinite Integration
Average Value of a Function
Average Value of a Function
For $$f(x)$$ continuous on $$[a,b]$$:
$$f_{\mathrm{avg}}=\frac{1}{b-a}\int_a^bf(x)\,dx$$
Usage
- Used to find the mean value of a continuous quantity over an interval.
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