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Top Questions
21
votes
Integrate square of the log-sine integral: $\int_0^{\frac{\pi}{2}}\ln^{2}(\sin(x))dx$
calculus
integral
asked Aug 20 '11 at 14:19
math.stackexchange.com
20
votes
tough integral involving $\sin(x^2)$ and $\sinh^2 (x)$
calculus
integral
improper-integrals
asked Sep 3 '11 at 15:59
math.stackexchange.com
17
votes
interesting square of log sin integral
integral
asked Mar 12 '12 at 12:25
math.stackexchange.com
17
votes
Show $\int_{0}^{\frac{\pi}{2}}\frac{x^{2}}{x^{2}+\ln^{2}(2\cos(x))}dx=\frac{\pi}{8}\left(1-\gamma+\ln(2\pi)\right)$
calculus
integral
integration
definite-integral
asked Aug 4 '12 at 13:47
math.stackexchange.com
17
votes
twist on classic log of sine and cosine integral
integral
asked Oct 5 '12 at 16:03
math.stackexchange.com
15
votes
integrate square of $\arctan x$. Tricky
calculus
trigonometry
integration
asked Nov 4 '11 at 23:02
math.stackexchange.com
15
votes
$x$ times square of log sine integral
definite-integral
asked Feb 22 at 23:47
math.stackexchange.com
14
votes
Integral involving $\coth (x)$: Maple and Mathematica disagree
integral
asked Oct 30 '11 at 21:52
math.stackexchange.com
13
votes
challenging alternating infinite series involving $\ln$
sequences-and-series
logarithms
asked Oct 1 '11 at 20:17
math.stackexchange.com
13
votes
tough integral involving the Cosine integral
calculus
integral
special-functions
asked Nov 19 '11 at 12:32
math.stackexchange.com
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Top Answers
6
Trig Fresnel Integral
math.stackexchange.com
5
A improper integral with Glaisher-Kinkelin constant
math.stackexchange.com
5
Tricky elementary integral
math.stackexchange.com
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