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Hey, so I've been working on a program to numerically integrate an integral of the form

∫x^{n}f(x) dx, LIM(0 to INF.)

Here n can go to negative non integral values, say -3.7 etc. and f(x)

is a function of sin, cos and x's.

I want to know which numerical integration method I should be using for this

type of definite integral. I was looking at Gauss-Laguerre quadrature method, but I don't

know it it will be applicable, given the constraint on n to be > -1

(http://en.wikipedia.org/wiki/Gauss–Laguerre_quadrature#Generalized_Gauss.E2.80.93Laguerre_quadrature)

Also, there is a singularity at x=0, which will affect it.

Can anyone given any tips on how to handle this ?

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# Numerical integration methods applicable to a type of definite integral

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