# Lobachevsky integral formula

In mathematics, Dirichlet integrals play an important role in distribution theory. We can see the Dirichlet integral in terms of distributions. One of those is the improper integral of the sinc function over the positive real line, ∫ 0 ∞ sin ⁡ x x d x = ∫ 0 ∞ sin 2 ⁡ x x 2 d x = π 2 . {\displaystyle \int _{0}^{\infty }{\frac {\sin x}{x}}\,dx=\int _{0}^{\infty }{\frac {\sin ^{2}x}{x^{2}}}\,dx={\frac {\pi }{2}}.}

## Words

This table shows the example usage of word lists for keywords extraction from the text above.

WordWord FrequencyNumber of ArticlesRelevance
x10298920.768
sin435650.432
frac327010.337
integral354170.306
dirichlet22030.3