Vladimir Reshetnikov

Member for 12 years
Last seen more than a week ago

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Redmond, WA, 🇺🇸

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special-functions

247/100 score

16/20 answers

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9

161

295

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Questions

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180

A math contest problem $\int_0^1\ln\left(1+\frac{\ln^2x}{4\,\pi^2}\right)\frac{\ln(1-x)}x \ \mathrm dx$

Oct 11, 2013

101

Arithmetic-geometric mean of 3 numbers

May 22, 2016

96

Complexity class of comparison of power towers

Jan 21, 2012

95

Conjecture $\int_0^1\frac{\mathrm dx}{\sqrt{1-x}\ \sqrt[4]x\ \sqrt[4]{2-x\,\sqrt3}}\stackrel?=\frac{2\,\sqrt2}{3\,\sqrt[8]3}\pi$

Oct 27, 2013

90

Conjecture $\int_0^1\frac{dx}{\sqrt[3]x\,\sqrt[6]{1-x}\,\sqrt{1-x\left(\sqrt{6}\sqrt{12+7\sqrt3}-3\sqrt3-6\right)^2}}=\frac\pi9(3+\sqrt2\sqrt[4]{27})$

Oct 24, 2013

Answers

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Score Activity Newest

105

Collection of surprising identities and equations.

Sep 28, 2013

84

Collection of surprising identities and equations.

Feb 28, 2014

49

How to find $\int_0^\infty\frac{\log\left(\frac{1+x^{4+\sqrt{15}}}{1+x^{2+\sqrt{3}}}\right)}{\left(1+x^2\right)\log x}\mathrm dx$

Mar 7, 2014

46

A definite integral $\int_0^\infty\frac{2-\cos x}{\left(1+x^4\right)\,\left(5-4\cos x\right)}dx$

Sep 29, 2013

42

Integral $\int_0^1\frac{x^9\left(x^4+x^2-x-1-5\ln x\right)}{\left(x^{10}-1\right)\ln x}\mathrm dx$

Oct 23, 2013

Tags

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integration

825

Score

98

posts

closed-form

781

Score

103

posts

calculus

762

Score

117

posts

definite-integrals

682

Score

93

posts

logarithms

346

Score

32

posts

Reputation

+10

How do I calculate the 2nd term of continued fraction for the power tower ${^5}e=e^{e^{e^{e^{e}}}}$

+10

Integrals of the form ${\large\int}_0^\infty\operatorname{arccot}(x)\cdot\operatorname{arccot}(a\,x)\cdot\operatorname{arccot}(b\,x)\ dx$

+10

Integral $\int_0^\infty\operatorname{arccot}(x)\,\operatorname{arccot}(2x)\,\operatorname{arccot}(5x)\,dx$

+10

Integral $\int_0^\infty\frac{\tanh^2(x)}{x^2}dx$

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Sep 23, 2021
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Jul 18, 2022
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Sep 10, 2015

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Sep 5, 2013
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May 29, 2015

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closed-form

Sep 29, 2013
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Jul 30, 2015
integration

Nov 11, 2013

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