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I need a hint on how to solve this integral using mathematica

I = Integral ( A(x)*x^2*cos(nx) )dx , (0 to infinity)

A is a function of x and infact i have the values of A for different values of x which was obtained experimentally.

I need to find the value of I(the integral) for many values of n say from (n=1 to 250)

Any thoughts would be greatly helpful. Let me know if the question is not clear

Thanks a lot,