Could you please point me in the right direction for this problem?

Question: Use either Bernoulli polynomials or the Euler–Maclaurin summation formula to evaluate

Thanks a lot!

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- Apr 19th 2009, 07:59 AMLast_SingularityBernoulli polynomials & Euler–Maclaurin summation
Could you please point me in the right direction for this problem?

Question: Use either Bernoulli polynomials or the Euler–Maclaurin summation formula to evaluate

Thanks a lot! - Apr 19th 2009, 08:54 AMchisigma
The Bernoulli polynomials are defined as...

where the arer the 'Bernoulli numbers' defined in ricorsive manner as...

,

The Bernoulli polynomial are useful [among other things...] for the following formula...

Kind regards