Frullani's Integral
For suitable positive constants $$a$$ and $$b$$:
$$\int_0^\infty\frac{f(ax)-f(bx)}{x}\,dx=[f(0)-f(\infty)]\ln\frac{b}{a}$$
Usage
- Used in advanced definite-integral problems involving scaled arguments and a factor $$1/x$$.
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CAT Formulas
Indefinite Integration
Frullani's Integral
Frullani's Integral
For suitable positive constants $$a$$ and $$b$$:
$$\int_0^\infty\frac{f(ax)-f(bx)}{x}\,dx=[f(0)-f(\infty)]\ln\frac{b}{a}$$
Usage
- Used in advanced definite-integral problems involving scaled arguments and a factor $$1/x$$.
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