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Anastasiya-Romanova 秀

三十六计走为上计

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131 Find the value of $\sqrt{10\sqrt{10\sqrt{10…}}}$ Oct 2 '14
111 Compute $\int_0^{\pi/4}\frac{(1-x^2)\ln(1+x^2)+(1+x^2)-(1-x^2)\ln(1-x^2)}{(1-x^4)(1+x^2)} x\exp(\frac{x^2-1}{x^2+1}) dx$ May 31 '14
57 The Wicked Integral Oct 17 '14
46 Integral Contest Oct 22 '14
41 Prove $\int_{0}^{\pi/2} \ln \left(x^{2} + (\ln\cos x)^2 \right) \, dx=\pi\ln\ln2 $ Aug 31 '14
40 Really advanced techniques of integration (definite or indefinite) Oct 11 '14
39 Surely You're Joking, Mr. Feynman! $\int_0^\infty\frac{\sin^2x}{x^2(1+x^2)}\,dx$ May 21 '14
36 Closed form of $\mathscr{R}=\int_0^{\pi/2}\sin^2x\,\ln\big(\sin^2(\tan x)\big)\,\,dx$ Nov 4 '14
35 A closed form of $\sum_{k=1}^\infty\frac{(-1)^{k+1}}{k!}\Gamma^2\left(\frac{k}{2}\right)$ Jul 26 '14
34 Surely You're Joking, Mr. Feynman! $\int_0^\infty\frac{\sin^2x}{x^2(1+x^2)}\,dx$ [duplicate] May 21 '14
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