Reciprocal Symmetry on $$[a,b]$$

Rarely Tested

Reciprocal Symmetry on $$[a,b]$$

For a suitable integrand:

$$\int_a^bf(x)\,dx=\int_{1/b}^{1/a}\frac{f(1/t)}{t^2}\,dt$$

Usage

- Used to transform integrals under the substitution $$x=1/t$$.

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