# Frank

Top Questions

## Evaluating :$\int \frac{1}{x^{10} + x}dx$

asked Jul 17 '12 at 20:49

## Prove that there does not exist any positive integers pair $(m, n)$ satisfying: $n(n + 1)(n + 2)(n + 3) = m{(m + 1)^2}{(m + 2)^3}{(m + 3)^4}$

asked Jul 10 '12 at 12:11

## Integral:$\int^\infty_{-\infty}\frac{\ln(x^{2}+1)}{x^{2}+1}dx$

asked Jul 31 '12 at 12:50

## Finding all primes $p$ such that $\frac{(11^{p-1}-1)}{p}$ is a perfect square

asked Jul 12 '12 at 13:34

## Proving that there exists $a_i \in \{a_1,\dots,a_k\}$ so that for any positive integer $n$ $F(n)$ is divisible by $a_i$

asked Jul 4 '12 at 9:38

## proving :$\frac{ab}{a^2+3b^2}+\frac{cb}{b^2+3c^2}+\frac{ac}{c^2+3a^2}\le\frac{3}{4}$.

asked Jul 7 '12 at 14:14

## Finding all integers such that $a^2+4b^2 , 4a^2+b^2$ are both perfect squares

asked Aug 20 '12 at 15:19

## How to find all naturals $n$ such that $\sqrt{1 {\underbrace{4\cdots4}_{n\text{ times}}}}$ is an integer?

asked Jul 14 '12 at 1:20

## Prove : $\frac{\cos(x_1) +\cos(x_2) +\cdots+\cos(x_{10})}{\sin(x_1) +\sin(x_2) +\cdots+\sin(x_{10})} \ge 3$

asked Aug 10 '12 at 1:13