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- <h3 class="subsection">D.7.2 <code>gslint</code> output</h3>
- <p>In all cases, if no exception occurs, the result returned is an
- approximation of the integral of <var>f</var> over the interval from
- <var>a</var> to <var>b</var> or from the first item of <var>p</var> to the last.
- </p>
- <p>Results may differ in numerical properties depending on the
- integration method and the tolerance used.
- </p>
- <ul>
- <li>
- The <code>qagp</code>* and <code>qagx</code>* functions use an adaptive algorithm,
- <a name="index-adaptive-integration"></a>
- <a name="index-non_002dadaptive-integration"></a>
- whereas the <code>qng</code>* functions use a faster non-adaptive algorithm
- suitable only for smooth integrands.
- </li><li>
- Faster and maybe more accurate results are obtained for discontinuous
- or non-differentiable integrands by the <code>qagp</code>* integration
- methods if the interior points in <var>p</var> are chosen to coincide with
- the discontinuities or corners.
- </li><li>
- Larger tolerances are conducive to faster but less accurate results in
- most cases.
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