# File:Sine integral.svg

## Summary

Description
English: The plot of integral of the sinc function: $\mathrm{Si}(x)=\int\limits_0^x\frac{\sin(t)}{t}dt$ having an asymptote at $x=\pi/2$
 This vector graphics image was created with Asymptote.
Date 8 June 2011
Source Own work
Author Krishnavedala

## Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
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 Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.

## Source

This image has been created using python and can also be plotted using the following matlab source code.

margin = 0.3;
x = 0:0.01*pi:8*pi;  y = sinint(x);

plot(x,y); hold on
plot( [min(x) max(x)], [pi/2 pi/2] , 'k:')  % the asymptote
axis([min(x) max(x)  min(y)  max(y)+margin])
title('{\bfSine integral}'); legend('Si({\itx})', 'asymptote at {\itx}\rightarrow\infty')
xlabel('$x$', 'Interpreter','latex')
ylabel('${\mathop{\rm Si}\nolimits} \left( x \right) = \int\limits_0^x {\frac{{\sin t}}{t}dt}$',...
'Interpreter','latex')

The following pages on Schools Wikipedia link to this image (list may be incomplete):