Integral of a Product with a Symmetric Function

Rarely Tested

Integral of a Product with a Symmetric Function

If:

$$f(a-x)=f(x)$$

then:

$$\int_0^a f(x)g(x)\,dx=\int_0^a f(x)g(a-x)\,dx$$

Usage

- Used to transform one factor of a product using interval symmetry.

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