The answer is correct, from a Matlab perspective. As used, the quadl function returns and answer to within an error of 10e-6, according to the help page. You can change this by giving it a third argument, which is smaller than the default 10e-6, but the answer you get will not change much.
The first part of the answer (1.377030900487298e-027)tells me that there is no real part to it, and the second part(2.248862123260422e-011i)tells me that the imaginary value is very small, but correct. I tried your integral using another software package and the answer returned was 2.248862122*10^(-11)*I, which is equivalent to your answer.
Hope this helps.
Regards, Georgios
