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Mean Value of a Continuous Function
$$f_{\mathrm{avg}}=\frac{1}{b-a}\int_a^bf(x)\,dx$$
and for some $$c\in[a,b]$$:
$$f(c)=f_{\mathrm{avg}}$$
Usage
- Used to connect the average value of a continuous function with an actual function value.
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Mean Value of a Continuous Function
$$f_{\mathrm{avg}}=\frac{1}{b-a}\int_a^bf(x)\,dx$$
and for some $$c\in[a,b]$$:
$$f(c)=f_{\mathrm{avg}}$$
Usage
- Used to connect the average value of a continuous function with an actual function value.
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