Jack D'Aurizio
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200 today
 +40 43 mins ago 4 events How to Find a rational numberbetween two irratonal number? +20 18 mins ago 2 events Help on how to show that $\int_{0}^{1}\left(2{x-1\over \ln^2{x}}-{x+1\over \ln{x}}\right)dx=3\ln{2}-2$ +20 1 hour ago 2 events Show that $\log(1+y) \approx y- \frac {y^2}2 + \cdots$ without Taylor Series +20 13 hours ago 2 events Find Area Enclosed by Curve +10 2 mins ago upvote Prove $\lim\limits_{n\to\infty}\frac{1}{\sqrt[n]{n!}}=0$ +10 15 mins ago upvote Series expansion of exponential and logarithmic functions +10 54 mins ago upvote Trigonometry Olympiad problem: Evaluate $1\sin 2^{\circ} +2\sin 4^{\circ} + 3\sin 6^{\circ}+\cdots+ 90\sin180^{\circ}$ +10 1 hour ago upvote If $\sin x + \sin y = 1$ and $\cos x + \cos y = 0$, solve for $x$ and $y$ +10 1 hour ago upvote Show that $\int_0^1 \int_0^1 {x\ln x\over (1-xy)\ln(xy)} \, dx \, dy=1-\gamma.$ +10 3 hours ago upvote Does this expression diverge or converge? +10 6 hours ago upvote Exact value of a series +10 11 hours ago upvote How do we show that $\ln{2}-\gamma=\sum_{n=1}^{\infty}{\zeta(2n+1)\over 2^{2n}(2n+1)}?$ +10 11 hours ago upvote Conjectured value of $\int_{0}^{\infty}\left(\frac{x-1}{\ln^2 x}-\frac{1}{\ln x}\right)\frac{\mathrm{d}x}{x^2+1}$ +10 11 hours ago upvote Value of a product of cosines and the floor of its reciprocal
275 yesterday
 +40 14:57 4 events For $\pm\sqrt 1\pm\sqrt 2 \pm\sqrt 3 \pm\cdots\pm\sqrt {2009}$, show there is a choice of signs such that it is irrational +30 17:41 3 events Show that the following equation has got exactly one solution for each $C>0$ +25 22:55 3 events Area of the polar figure enclosed by the circle $r=2$ and the cardioid $r=2(1+cos θ)$ +25 15:04 2 events Summation of a series involving the MOD function +25 14:08 2 events How to integrate: $f(x) =\frac{ \cos5 x +5 \cos 3x+ 10\cos x}{\cos 6x+6\cos 4x+15 \cos 2x+10}{dx}$ +20 22:30 4 events Find Area Enclosed by Curve +20 21:52 4 events Trigonometry Olympiad problem: Evaluate $1\sin 2^{\circ} +2\sin 4^{\circ} + 3\sin 6^{\circ}+\cdots+ 90\sin180^{\circ}$ +20 08:58 2 events How do we show that $\ln{2}-\gamma=\sum_{n=1}^{\infty}{\zeta(2n+1)\over 2^{2n}(2n+1)}?$ +15 22:47 2 events Value of a product of cosines and the floor of its reciprocal +15 07:26 accept Angle chasing in a circle +10 14:19 upvote If $a$ and $b$ are roots of $x^4+x^3-1=0$, $ab$ is a root of $x^6+x^4+x^3-x^2-1=0$. +10 14:18 upvote max of $e$ with $a+b+c+d+e=8$ and $a^2+b^2+c^2+d^2+e^2=16$ +10 02:11 upvote what is the value of $\zeta_{\mathbb{Q}(i)}(-1)$? +10 01:59 upvote Sum of Squares of Harmonic Numbers 22:51 upvote Fibonacci number that ends with 2014 zeros? 22:51 upvote How to generate a random number between 1 and 10 with a six-sided die? 22:22 upvote Average distance between two random points in a square 21:55 2 events Analyze if this series converges: $\sum_{n=0}^{\infty}\frac{n^{2}+1}{n!}$ 20:41 upvote Beta function problem
200 2 days ago
 +50 11:38 5 events If $\sin x + \sin y = 1$ and $\cos x + \cos y = 0$, solve for $x$ and $y$ +30 15:56 3 events $\sin \alpha = \frac{3}{5}$ and $\cos \beta = -\frac{12}{13}$ . Find the values that $\cos(\alpha+\beta )$ can get. +30 15:28 3 events Compute $1 \cdot \frac {1}{2} + 2 \cdot \frac {1}{4} + 3 \cdot \frac {1}{8} + \cdots + n \cdot \frac {1}{2^n} + \cdots$ +30 09:00 3 events Find all integer roots of: $x^2(y-1)+y^2(x-1)=1$ +20 11:38 2 events How do we show that $\ln{2}-\gamma=\sum_{n=1}^{\infty}{\zeta(2n+1)\over 2^{2n}(2n+1)}?$ +10 15:11 upvote I find correct limit of the sin cos function? +10 12:05 upvote Solving $\int\cos(x)\ln\left(\frac{9}{6-\sin(x)}\right)\,dx$ +10 11:35 upvote How to find $\tan \left(\frac{x}{2}\right)$ knowing that $\cos \left(x\right)+\sin \left(x\right)=\frac{7}{5}$ +10 10:31 upvote nature of the series $\sum (-1)^{n}n^{-\tan\left(\tfrac{\pi}{4}+\tfrac{1}{n} \right)}$ 21:34 2 events For $\pm\sqrt 1\pm\sqrt 2 \pm\sqrt 3 \pm\cdots\pm\sqrt {2009}$, show there is a choice of signs such that it is irrational 21:27 upvote Different methods to compute $\sum\limits_{k=1}^\infty \frac{1}{k^2}$ 21:22 upvote Nice proofs of $\zeta(4) = \pi^4/90$? 20:58 2 events Looking for a proof of a combinatorial relation 20:18 upvote How does one prove that $\zeta(3)$ is irrational? 19:24 upvote Limit distributions for Markov chains $X\to\sqrt{U+X}$ 17:13 upvote Closed form for $\sum_{n=1}^{\infty}\frac{1}{\sinh^2\!\pi n}$ conjectured
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