Expressing an integral as an infinite series

[DrummingAtom]

Homework Statement

\int_0^x \frac{1-cos(t)}{t}

Homework Equations

The Attempt at a Solution

I'm lost completely. If I separate it and then try integrating it has 0 for the ln(x) which has to be wrong.

 

[rock.freak667]

One equation that will be useful to you is that

cosx = \Sigma_{n=0} ^{\infty} \frac{(-1)^n x^{2n}}{(2n)!}

So you can cancel out the '1' from the numerator.