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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CAT Formulas
Indefinite Integration
Integral of a Product with a Symmetric Function
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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