Reciprocal Symmetry on $$[0,\infty)$$
For suitable convergent integrals:
$$\int_0^\infty f(x)\,dx=\int_0^\infty\frac{f(1/x)}{x^2}\,dx$$
Usage
- Used to pair an integral with its reciprocal transformation.
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CAT Formulas
Indefinite Integration
Reciprocal Symmetry on $$[0,\infty)$$
Reciprocal Symmetry on $$[0,\infty)$$
For suitable convergent integrals:
$$\int_0^\infty f(x)\,dx=\int_0^\infty\frac{f(1/x)}{x^2}\,dx$$
Usage
- Used to pair an integral with its reciprocal transformation.
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