infinite series--integral?

Hi, I am supposed to determine whether "the sum of the sequence a(n)from n=1 to n=infinity" converges (i.e. whether or not the sequence is summable) where a(n)=1/[n^(1+(1/n)]. I figure I can use the fact that this sequence is summable if lim(A->infinity)[integral from 1 to A of f(x)] exists where f(x)=1/[x^(1+(1/x))]. My problem is I forget (or maybe never knew) how to find this integral which I must do to find the limit of the integral as A approaches infinity. Am I even approaching the question in the correct way?

Thankyou for any help