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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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On some trigonometric integrals
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by Henry E. Fettis PDF
Math. Comp. 35 (1980), 1325-1329 Request permission

Corrigendum: Math. Comp. 37 (1981), 605.
Corrigendum: Math. Comp. 37 (1981), 605.


Expressions are obtained for the integrals \[ I_\lambda ^{(p)} = \int _0^{\pi /2}{\left ( {\frac {{\sin \lambda \theta }}{{\sin \theta }}} \right )^p}d\theta ,\quad J_\lambda ^{(p)} = \int _0^{\pi /2}{\left ( {\frac {{1 - \cos \lambda \theta }}{{\sin \theta }}} \right )^p}d\theta \] for arbitrary real values of "$\lambda$", and $p = 1,2$.
    I. S. GRADSHTEYN & I. M. RYZHIK, Table of Integrals, Series and Products, Academic Press, New York, 1965.
  • Wilhelm Magnus and Fritz Oberhettinger, Formeln und Sätze für die speziellen Funktionen der mathematischen Physik, Springer-Verlag, Berlin, 1948 (German). 2d ed. MR 0025629
  • J. EDWARDS, A Treatise on the Integral Calculus, Vol. II, Macmillan, New York, 1922; reprinted by Chelsea, New York, 1977.
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Math. Comp. 35 (1980), 1325-1329
  • MSC: Primary 33A15; Secondary 33A10, 33A70
  • DOI:
  • MathSciNet review: 583510