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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CAT Formulas
Indefinite Integration
Symmetry Weighted Integral for Two Functions
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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