Weighted Average Using Integration
For a weight function $$w(x)\geq0$$:
$$f_{\mathrm{avg}}=\frac{\int_a^bf(x)w(x)\,dx}{\int_a^bw(x)\,dx}$$
Usage
- Used when different parts of the interval have different weights.
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Indefinite Integration
Weighted Average Using Integration
Weighted Average Using Integration
For a weight function $$w(x)\geq0$$:
$$f_{\mathrm{avg}}=\frac{\int_a^bf(x)w(x)\,dx}{\int_a^bw(x)\,dx}$$
Usage
- Used when different parts of the interval have different weights.
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