I'm thinking this is undefined (except where a=b). Playing with integrating a=2, b=1 from 0 to 10, 100, 1000, 10000 etc. Adding a zero increases the integral by more than 1.
The integral formula for arctan has a ln term that seems to grow as well.
The real evidence was to change to the inverse of the function.
x) dx =
∫ (1/a)tan(x)−(1/b)tan(x) dx =
(1/a-1/b)∫ tan(x) dx
The integral formula for tan(x) is
-ln|cos(x)| which is undefined at π/2
Posted by Jer
on 2014-04-04 22:02:57