Symmetry Weighted Integral for Two Functions

Rarely Tested

Symmetry Weighted Integral for Two Functions

If:

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

and:

$$g(a-x)=-g(x)$$

then:

$$\int_0^af(x)g(x)\,dx=0$$

Usage

- Used when an even-type and odd-type symmetry about the midpoint are multiplied.

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