Sophomore,s Dream
المؤلف:
Borwein, J.; Bailey, D.; and Girgensohn, R.
المصدر:
Experimentation in Mathematics: Computational Paths to Discovery. Wellesley, MA: A K Peters, 2004.
الجزء والصفحة:
...
28-8-2018
2172
Sophomore's Dream
Borwein et al. (2004, pp. 4 and 44) term the expression of the integrals
(OEIS A083648 and A073009) in terms of infinite sums "a sophomore's dream."
For 
, write
Integrating term by term then gives
(Borwein et al. 2004, p. 44).
For 
, write
Integrating term by term then gives
(Borwein et al. 2004, pp. 4 and 44).
REFERENCES:
Borwein, J.; Bailey, D.; and Girgensohn, R. Experimentation in Mathematics: Computational Paths to Discovery. Wellesley, MA: A K Peters, 2004.
Dunham, W. The Calculus Gallery: Masterpieces from Newton to Lebesgue. Princeton, NJ: Princeton University Press, pp. 46-51, 2005.
Sloane, N. J. A. Sequences A083648 and A073009 in "The On-Line Encyclopedia of Integer Sequences."
الاكثر قراءة في التفاضل و التكامل
اخر الاخبار
اخبار العتبة العباسية المقدسة
