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omegadot

Like G. H. Hardy once famously said,“I could never resist the challenge of a definite integral,” and I tend to have to agree.

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21 On the evalution of an infinite sum Jan 26 '19
18 Evaluate $\int_0^{\pi/4}{(4\cot x\ln\sec x-x)\ln^2\tan xdx}$ Jul 12 '19
16 Another interesting integral related to the Omega constant Feb 21 '14
15 Unexpected appearances of $\pi^2 /~6$. Jan 18 '20
13 A conjectured value for $\operatorname{Re} \operatorname{Li}_4 (1 + i)$ Jul 12 '19
13 Solving the integral $\int_0^1\int_0^1\frac{1}{(1-\alpha x^\beta y^\gamma)^2}dxdy$ Feb 14 '18
11 Evaluating $\int_0^1\frac{x^{2/3}(1-x)^{-1/3}}{1-x+x^2}dx$ Feb 25 '19
11 How many ways to colour a $4 \times 4$ grid using four colours subject to three constraints Apr 27 '18
9 Show that $\int^1_0 \frac{\tanh^{-1} x}{x} \ln [(1 + x)^3 (1 - x)] \, dx = 0$ Jun 12 '19
9 Epitrochoids and adjacent loop touching Aug 7 '20
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