Formula:75

Digital Library of Mathematical Functions ID 1.4.E25

${\displaystyle{\displaystyle\pvint^{\infty}_{-\infty}f(x)\mathrm{d}x=P\int^{\infty}_{-\infty}f(x)\mathrm{d}x=\lim_{b\to\infty}\int^{b}_{-b}f(x)\mathrm{d}x,}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\pvint_{\NVar{a}}^{\NVar{b}}}}$: Cauchy principal value
 

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