Ahmed,s Integral
المؤلف:
Ahmed, Z.
المصدر:
"Definitely An Integral." Amer. Math. Monthly 109, 670-671, 2002.
الجزء والصفحة:
...
13-8-2018
1931
Ahmed's Integral
Ahmed's integral is the definite integral
(OEIS A096615; Ahmed 2002; Borwein et al. 2004, pp. 17-20).
This is a special case of a general result that also yields
(OEIS A102521 and A098459) as additional cases (Borwein et al. 2004, p. 20), where 
is Catalan's constant.
REFERENCES:
Ahmed, Z. "Definitely An Integral." Amer. Math. Monthly 109, 670-671, 2002.
Borwein, J.; Bailey, D.; and Girgensohn, R. "Ahmed's Integral Problem." §1.6 in Experimentation in Mathematics: Computational Paths to Discovery. Wellesley, MA: A K Peters, pp. 17-20, 2004.
Sloane, N. J. A. Sequences A096615, A098459, and A102521 in "The On-Line Encyclopedia of Integer Sequences."
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