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General Symmetry Weighted Integral
If:
$$f(a-x)=f(x)$$
then:
$$\int_0^a x^nf(x)\,dx=\int_0^a(a-x)^nf(x)\,dx$$
Usage
- Used to replace powers of $$x$$ by powers of $$a-x$$ in symmetric-integral problems.
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General Symmetry Weighted Integral
If:
$$f(a-x)=f(x)$$
then:
$$\int_0^a x^nf(x)\,dx=\int_0^a(a-x)^nf(x)\,dx$$
Usage
- Used to replace powers of $$x$$ by powers of $$a-x$$ in symmetric-integral problems.
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