How to avoid Singularity in numirical integration

[poster]

I want to numerically integrate the following with Matlab:

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



 hn = integral(fun,0,(sqrt(R^2-x^2)));

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

Thank you.

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