Integral of a Product of Nonnegative Functions

Rarely Tested

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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