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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CAT Formulas
Indefinite Integration
Bound Using Minimum and Maximum Values
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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