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October 5th, 2018, 06:49 AM   #1
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Definite Integral

Post different ways and methods for solution of the integral $\displaystyle \int \limits_0^{1} \frac{\sin x}{x} dx $
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October 5th, 2018, 07:08 AM   #2
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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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October 5th, 2018, 08:14 PM   #3
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Math Focus: Frame Theory is pretty awesome, and it's ripe for undergraduate research!
Quote:
Originally Posted by romsek View Post
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
You are right! I just learned about this! It is super cool!
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