Symmetric Difference Identity
If:
$$f(x)-f(a-x)=g(x)$$
then:
$$\int_0^a g(x)\,dx=0$$
Usage
- Used when an integrand is antisymmetric about the midpoint $$x=a/2$$.
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CAT Formulas
Indefinite Integration
Symmetric Difference Identity
Symmetric Difference Identity
If:
$$f(x)-f(a-x)=g(x)$$
then:
$$\int_0^a g(x)\,dx=0$$
Usage
- Used when an integrand is antisymmetric about the midpoint $$x=a/2$$.
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