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 October 5th, 2018, 05:49 AM #1 Senior Member   Joined: Dec 2015 From: somewhere Posts: 588 Thanks: 86 Definite Integral Post different ways and methods for solution of the integral $\displaystyle \int \limits_0^{1} \frac{\sin x}{x} dx$
 October 5th, 2018, 06:08 AM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,529 Thanks: 1389 There is no familiar closed form for this. $\displaystyle \int_0^x~\dfrac{\sin(z)}{z}~dz = Si(x)$ where $Si(x)$ is known as the sine integral function
October 5th, 2018, 07:14 PM   #3
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 Originally Posted by romsek There is no familiar closed form for this. $\displaystyle \int_0^x~\dfrac{\sin(z)}{z}~dz = Si(x)$ where $Si(x)$ is known as the sine integral function

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