## 17Calculus - Lobachevsky's Integral Formula

Analysis

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Calculus 1 Practice

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Practice Exams

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Lobachevsky's Integral Formula

$$\displaystyle{ \int_{0}^{\infty}{ f(x) \frac{\sin(x)}{x} ~ dx } = }$$ $$\displaystyle{ \int_{0}^{\pi/2}{ f(x) ~ dx } }$$

Here is the first video that we found that introduced us to this formula. He explains it very well and uses it to work a couple of examples.

### Michael Penn - Lobachevsky's integral formula and a nice application

video by Michael Penn

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