How would I use a series to approximate the following integral?

I think that it somehow relates to

but I can't figure out what to do with the part and how to solve the integral with all the different terms to the various powers....

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- July 19th 2009, 11:45 PMyellowfiveUsing a series to approximate an integral
How would I use a series to approximate the following integral?

I think that it somehow relates to

but I can't figure out what to do with the part and how to solve the integral with all the different terms to the various powers.... - July 20th 2009, 12:09 AMDeMath
- July 20th 2009, 06:26 AMyellowfive
Thanks! So this becomes:

How do I integrate this from here though? Do I do this to find each term of the series?

- July 20th 2009, 06:39 AMDeMath