I am supposed to find an approximation of this integral evaluated between the limits 0 and 1 using a taylor expansion for cos x:(adsbygoogle = window.adsbygoogle || []).push({});

[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?

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# Approximate the integral int (1 - cos x)/x dx using Taylor expansion

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