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Mean Value Theorem for Integrals
If $$f(x)$$ is continuous on $$[a,b]$$, then there exists $$c\in[a,b]$$ such that:
$$\int_a^b f(x)\,dx=f(c)(b-a)$$
Usage
- Used to relate the value of a definite integral to the function value at some point.
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Mean Value Theorem for Integrals
If $$f(x)$$ is continuous on $$[a,b]$$, then there exists $$c\in[a,b]$$ such that:
$$\int_a^b f(x)\,dx=f(c)(b-a)$$
Usage
- Used to relate the value of a definite integral to the function value at some point.
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