Bound Using Minimum and Maximum Values

Rarely Tested

Bound Using Minimum and Maximum Values

If:

$$m\leq f(x)\leq M$$

on $$[a,b]$$, then:

$$m(b-a)\leq\int_a^bf(x)\,dx\leq M(b-a)$$

Usage

- Used to estimate a definite integral without evaluating it exactly.

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