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International Journal of Mathematical Education in Science and Technology Volume 38, 2007 - Issue 3
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Classroom notes

Sequences of definite integrals

T. Dana-Picard Department of Applied Mathematics, Jerusalem College of Technology, Havaad Haleumi Str. 21, POB 16031, Jerusalem 91160, IsraelCorrespondence[email protected]
Pages 393-401 | Received 27 Sep 2005, Published online: 17 Jul 2007
 
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Abstract

Definite integrals are computed for polynomials depending on at least one parameter. Recurrence relations are derived for the sequences of integrals and then used to derive closed forms for the general term of these sequences. In one example, a connection with an important trigonometric integral is found.

Acknowledgement

The author wishes to thank his colleague E. Reisin for fruitful discussions.

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