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[tex]\int \frac{1 - cos x}{x}dx[/tex]

and given

[tex]cos x = 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \frac{x^6}{6!}...[/tex]

i should get a simple series similar to this for [tex]\frac{1 - cos x}{x}[/tex] and be able to simply integrate each term of the series and evaluate the integral for an approx. how do i find this series?