Consider the following integral:
And consider functions :
I want to compare them with each other ( at least numerically for large interval of value )
If graph for very large intervals (upto atleast $10^4$) possible please add ( please add all the graph in one axis system so I can compare them ).
(Due to wild oscillations of $S(q)$; I can't deal with it )( Mathematica doesn't seem to help with large values ).
(Does numerics suggests $S(q) \sim R(q)$ or $T(q)$? ).