Symbolic Integration question: answer still contains the integrated variables

Hello All,

Im trying to calculate the symbolic integral of a function:

THis is my code:

syms omega;
fun = 1 ./ (2 .* pi).* omega_bar.^2 .* P .* exp(-1i .* omega .* t);
A = int(fun, 0, inf);

In this code 't' is an array t = (-0.4: 0.01: 0.4) .* 1e-12;

My problem is, the answer A is of the following form (This answer is actually one of the entries of the array A)

A(1) = limit(- (12767604380008764342331373284761730303205493177*i)/(131072*exp(omega^2/9869604) .... (this is a truncated answer, since the actual answer is too long)

My question is:

1. Why is there a limit term, and how do I get the answer from here?
2. WHy is there omega still in the answer?

Thanks for anyone who can give me an idea how to solve this.

Cheers!