How to avoid Singularity in numirical integration
 

<p>I want to numerically integrate the following with Matlab: </p>

<pre><code> fun=@(t) (((1 - (-1)^n*cos(n*pi*t/R)))./t);

hn = integral(fun,0,(sqrt(R^2-x^2)));
</code></pre>

<p>For now, I just avoided to evaluate the integral in 0, are they any way to encounter the singularity at this point.</p>

<p>Thank you.</p>



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