[0,3]
To determine the convergence or divergence of the integral, how many improper integrals must be analyzed? What must be true of each of these integrals if the given integral converges?
I think it must be analyzed twice. Even if that is right, I don't know what must be true of each of them if they converge.
Please help.
The integrand has infinite discontinuities at and If the integral does converge, then we may write it as
(I chose to split the first interval at 1, but you could use any value between 0 and 2)
If any of these three limits does not exist, then the original integral does not converge. For the antiderivative, use partial fraction decomposition.