Given the value of $\int f(x)/x\,dx$, is there a method to determine the value of $\int f(x)/(A+Bx)\,dx$?
In particular, I'm dealing with $f(x)=J_0(Cx)J_1(Dx)$ and integrating from 0 to $\infty$. $A$, $B$, $C$, and $D$ are constants.
In case it matters: I have constraints on $C$ and $D$ that allow me to use a definite integral I stumbled over at Wolfram Functions, so that's where I'm getting the value of $\int f(x)/x\,dx$ from.