Serret's Integral

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).

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."