Numerical integration methods applicable to a type of definite integrl Hey, so I've been working on a program to numerically integrate an integral of the form ∫xnf(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 ?