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Some numerical series from

Published online by Cambridge University Press:  22 September 2016

J.M.H. Peters
J.M.H. Peters*
Affiliation:
Department of Mathematics, Liverpool Polytechnic, Byrom Street, Liverpool L3 3AF
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Extract

There is some interesting mathematics associated with the integration of the function

for positive integers n. For n = 1 we have

to within an arbitrary constant. Expanding the integrand with the binomial theorem and integrating term by term gives the well-known result

Type
Research Article
Information
The Mathematical Gazette , Volume 67 , Issue 440 , June 1983 , pp. 94 - 101
Copyright
Copyright © Mathematical Association 1983

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