Serret's integral is given by
 |  |  |
(1)
|
 |  |  |
(2)
|
(OEIS A102886; Serret 1844; Gradshteyn and Ryzhik 2000, eqn. 4.291.8; Boros and Moll 2004, p. 243).
Serret's Integral
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References
Boros, G. and Moll, V. Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals. Cambridge, England: Cambridge University Press, 2004.Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, 2000.Serret, M. J. A. "Sur l'intégrale
." J. Math. Pures Appl. 9,
436, 1844.Sloane, N. J. A. Sequence A102886
in "The On-Line Encyclopedia of Integer Sequences."Referenced on Wolfram|Alpha
Serret's IntegralCite this as:
Weisstein, Eric W. "Serret's Integral." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SerretsIntegral.html