Math Help - Quick power series question

1. Quick power series question

Hi I was wondering if anyone could guide me through this question:
Find a power series representation of the function of $f(x) = \int_{0}^{\infty }\frac{sin(t)}{t}dt$ using termwise integration of the Maclaurin series for sin x. For which xER is this representation valid.
Find a power series representation of the function of $f(x) = \int_{0}^{\infty }\frac{sin(t)}{t}dt$ using termwise integration of the Maclaurin series for sin x. For which xER is this representation valid.