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Symmetric Product Identity
If:
$$f(x)+f(a-x)=C$$
then:
$$\int_0^a f(x)\,dx=\frac{aC}{2}$$
Usage
- Used to evaluate definite integrals without finding an antiderivative.
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Symmetric Product Identity
If:
$$f(x)+f(a-x)=C$$
then:
$$\int_0^a f(x)\,dx=\frac{aC}{2}$$
Usage
- Used to evaluate definite integrals without finding an antiderivative.
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