Integral from data file

ROOT
1

Dear rootors,
I am trying to read data point from a file then integrate the values around function
data file have ( x and y), x start from 0 to 100 but with different step
and the function I want to integrate is
f=( x*y) dx
So I wrote this script

in.open(“data.dat”);
while (!in.eof())

{
in >>x>>y;
**double f=x*y;
**double sum_f = sum_f+f;
}
cout<<"sum_f = "<<sum_f = <<endl;

may issue is I need to interpolate the values between x, because dx is not constant,
does anyone know the solution??
cheers

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