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Date: 25-3-2019
1548
Date: 25-3-2019
1528
Date: 15-10-2019
1339
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Borwein et al. (2004, pp. 4 and 44) term the expression of the integrals
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(OEIS A083648 and A073009) in terms of infinite sums "a sophomore's dream."
For , write
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Integrating term by term then gives
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(Borwein et al. 2004, p. 44).
For , write
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Integrating term by term then gives
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(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."
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