Integral of a Product of Nonnegative Functions
If:
$$f(x)\geq0,\quad g(x)\geq0$$
on $$[a,b]$$, then:
$$\int_a^bf(x)g(x)\,dx\geq0$$
Usage
- Used to establish positivity of weighted integrals.
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Indefinite Integration
Integral of a Product of Nonnegative Functions
Integral of a Product of Nonnegative Functions
If:
$$f(x)\geq0,\quad g(x)\geq0$$
on $$[a,b]$$, then:
$$\int_a^bf(x)g(x)\,dx\geq0$$
Usage
- Used to establish positivity of weighted integrals.
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