[PLAIN]http://img243.imageshack.us/img243/156/55139700.png [Broken](adsbygoogle = window.adsbygoogle || []).push({});

Knowns

Well I know that

[tex]\sum \frac{1}{1-x}[/tex] = 1+[tex]x^{2}[/tex]+[tex]x^{3}[/tex]....

I know the integral is

[PLAIN]http://www4a.wolframalpha.com/Calculate/MSP/MSP32919a6dgiib73geda500000hd72bah4i062h1b?MSPStoreType=image/gif&s=36&w=241&h=38 [Broken]

I've first started with the known sum, then i replaced [x] with [PLAIN]http://www4c.wolframalpha.com/Calculate/MSP/MSP15219a6e2bf832h2gb6000039if18068de4ia05?MSPStoreType=image/gif&s=55&w=20&h=39 [Broken]

[tex]\sum \frac{1}{1-(x/2)^2}[/tex] = 1-(x^2/2)^2-(x^2/2)^3..

Then I tried to integrate the new sum [too long and latek is messing up for me] to get arctan. Then I multiplied it by 16.

I feel that i'm messing up somewhere, I just don't know where.

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# Homework Help: Coefficients of Series

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