I’m currently operating with the following integral:
But I notice that
It seems that both solutions are possible, but that seems to contradict the uniqueness of Riemann’s Integral.
So the questions are:
- Which one of them is the correct integral?
- If both are correct, why the solution is not unique?
- The pole at u(t)=1 has something to say?
It is not really a contradiction, since difference of the two functions is constant:
(Derivative of a constant function is zero. Primitive function is determined uniquely up to a constant.)