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Iaroslav V. Blagouchine: I agree, thank you!

evalf(intInt(1/GAMMA(x), x = 0..1), 15060);

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Vaclav Kotesovec: Maple took several minutes of CPU time for this.

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Cf. A268895.

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Gamma(x) is the gamma function. The value of this integral may also be accurately estimated by using bounds given in comments of A268895.

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Iaroslav V. Blagouchine: If one wishes to replace "Gamma" by "gamma" - it is OK for me (see  A268893).

allocated for Iaroslav V. Blagouchine

Decimal expansion of the integral int_{x=0..1} 1/Gamma(x) dx.

5, 4, 1, 2, 3, 5, 7, 3, 4, 3, 2, 8, 6, 7, 0, 5, 3, 0, 1, 4, 9, 5, 3, 7, 3, 2, 8, 8, 7, 9, 5, 5, 2, 0, 1, 3, 8, 9, 9, 2, 5, 6, 2, 0, 6, 6, 4, 9, 9, 7, 6, 0, 9, 7, 3, 5, 8, 9, 6, 1, 2, 5, 5, 1, 6, 7, 9, 1, 1, 8, 9, 1, 4, 3, 0, 5, 2, 6, 3, 8, 4, 4, 2, 5, 0, 9, 4, 2, 3, 8, 4, 2, 0, 2, 6, 2, 5, 6, 8, 5, 5, 3, 4, 4

0,1

Gamma(x) is the gamma function. The value of this integral may be accurately estimated by using bounds given in comments of A268895.

0.5412357343286705301495373288795520138992562066499760...

evalf(int(1/GAMMA(x), x = 0..1), 150);

NIntegrate[1/Gamma[x], {x, 0, 1}, WorkingPrecision->150]

(PARI) default(realprecision, 150); intnum(x=0, 1, 1/gamma(x))

Cf. A268895

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nonn,cons,changed

Iaroslav V. Blagouchine, Feb 15 2016

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