Average Value of a Function
For a continuous function on $$[a,b]$$:
$$f_{\mathrm{avg}}=\frac{1}{b-a}\int_a^b f(x)\,dx$$
Usage
- Used to calculate the average value of a continuously varying quantity.
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CAT Formulas
Indefinite Integration
Average Value of a Function
Average Value of a Function
For a continuous function on $$[a,b]$$:
$$f_{\mathrm{avg}}=\frac{1}{b-a}\int_a^b f(x)\,dx$$
Usage
- Used to calculate the average value of a continuously varying quantity.
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