# Sine integral Si(x) Calculator

## Calculates the sine integral Si(x).

 $Si(x)={\large\int_{\small 0}^{\hspace{25}\small x}\frac{sin(t)}{t}}dt$

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 $\normal Sine\ integral\ Si(x)\\\hspace{60} and\ cosine\ integral\ Ci(x)\\[10](1)\ Si(x)={\large\int_{\small 0}^{\hspace{25}\small x}\frac{sin(t)}{t}}dt\\(2)\ Ci(x)={\large\int_{\small 0}^{\hspace{25}\small x}\frac{cos(t)-1}{t}}dt+ln(x)+\gamma\\$

Sine integral Si(x)
 [1-10] /10 Disp-Num5103050100200
[1]  2018/08/19 23:29   Male / 60 years old level or over / A retired person / Useful /
Purpose of use
Retired physicist looking for code to generate table of dipole antenna complex impedance as function of wavelength and antenna length. This was a step along the way.
Comment/Request
Would like code to incorporate in more complicated function evaluation. Fortran or Basic preferred, C, C++ or Java OK too.
[2]  2018/02/28 04:11   Male / 60 years old level or over / An office worker / A public employee / Very /
Purpose of use
Normalize laser beam quality
[3]  2013/12/16 05:28   Male / 60 years old level or over / High-school/ University/ Grad student / Very /
Purpose of use
GENERAL INTEREST
[4]  2012/10/26 00:50   Male / 50 years old level / An office worker / A public employee / Very /
Purpose of use
Spectrum Analysis
Comment/Request
Very nice work. Domo arigoto goziamashita.
[5]  2011/07/05 02:28   Male / 20 years old level / A student / Very /
Purpose of use
[6]  2010/09/16 11:38   Male / More than 60 / A teacher / Very /
Comment/Request
good
[7]  2010/07/04 03:50   Male / 30 level / A teacher / Very /
Purpose of use
engineering
Comment/Request
this is a good site. i need it
[8]  2009/11/19 06:47   Male / 30 level / A researcher / Very /
Purpose of use
Needed a calculation of the Sine integral
Comment/Request
This site is very useful and convenient!
[9]  2009/10/13 14:21   Male / 20 level / A specialized student / Very /
Purpose of use
to compare the exact value of the integral with the asymptotic expansion approach
Comment/Request
impressive website!easy to use and all useful function integrals are accessible
[10]  2009/09/04 02:25   Male / 30 level / A researcher / Very /
Comment/Request
The algorithm could have been provided, researchers can use for scientific computing.

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