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<title>Trigonometric Integrals - GNU Scientific Library -- Reference Manual</title>
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<h4 class="subsection">7.17.5 Trigonometric Integrals</h4>
<p><a name="index-trigonometric-integrals-547"></a><a name="index-Si_0028x_0029-548"></a><a name="index-Ci_0028x_0029-549"></a>
<div class="defun">
— Function: double <b>gsl_sf_Si</b> (<var>const double x</var>)<var><a name="index-gsl_005fsf_005fSi-550"></a></var><br>
— Function: int <b>gsl_sf_Si_e</b> (<var>double x, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005fSi_005fe-551"></a></var><br>
<blockquote><p>These routines compute the Sine integral <!-- {$\hbox{Si}(x) = \int_0^x dt \sin(t)/t$} -->
Si(x) = \int_0^x dt \sin(t)/t.
<!-- Exceptional Return Values: none -->
</p></blockquote></div>
<div class="defun">
— Function: double <b>gsl_sf_Ci</b> (<var>const double x</var>)<var><a name="index-gsl_005fsf_005fCi-552"></a></var><br>
— Function: int <b>gsl_sf_Ci_e</b> (<var>double x, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005fCi_005fe-553"></a></var><br>
<blockquote><p>These routines compute the Cosine integral <!-- {$\hbox{Ci}(x) = -\int_x^\infty dt \cos(t)/t$} -->
Ci(x) = -\int_x^\infty dt \cos(t)/t for x > 0.
<!-- Domain: x > 0.0 -->
<!-- Exceptional Return Values: GSL_EDOM -->
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