Arjang
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 Nov26 revised Evaluating $\iint_D \sqrt{4x^2-y^2}\;\ \mathrm dx \ \mathrm dy$ added 3 characters in body; edited title Nov25 comment Solve equation $1+2^x=3^y$ good old Levi ben Gershon and induction, wonder how many people ever realise that? Nov25 revised Evaluate $\int\frac{\cot{x}}{1+\sin{x}+\cos{x}} \mathrm dx$ added 8 characters in body; edited title Nov25 revised Is $\sum_{n=1}^{\infty}\frac{2^nn!}{(n+1)!}$ absolutely convergent? edited title Nov25 revised $f(t)=1+t-\dfrac{8}{3}\displaystyle\int_{0}^{t}(\tau-t)^3f(\tau) \ \mathrm d\tau \quad , f(t)=?$ edited title Nov25 revised Why $\lim \limits_ {n\to \infty}\left (\frac{n+3}{n+4}\right)^n \neq 1$? edited title Nov25 revised Removing the square root in $\sum_{n=1}^{\infty}\frac{\sqrt{n+3}}{4n^2+n+4}$ edited title Nov25 revised Removing the square root in $\sum_{n=1}^{\infty}\frac{\sqrt{n+3}}{4n^2+n+4}$ edited title Nov25 reviewed Approve Removing the square root in $\sum_{n=1}^{\infty}\frac{\sqrt{n+3}}{4n^2+n+4}$ Nov24 awarded Yearling Nov24 revised Why $\sum_{k=1}^{\infty}\frac{\ln(k)}{k}$ diverges? edited title Nov24 revised Why $\sum_{k=1}^{\infty}\frac{\ln(k)}{k}$ diverges? $was missing Nov24 revised Prove$10^3n^4+10^{-3}2^n=\mathcal O(2^n)$no need for paranteheis Nov24 revised Prove$10^3n^4+10^{-3}2^n=\mathcal O(2^n)$added 17 characters in body; edited tags; edited title Nov24 revised$ \begin{bmatrix} -2 & 5 & 4 \\-1 & 0 & 0 \\0 & 4 & 3 \end{bmatrix}^{2013}$=? edited title Nov24 revised DE :$\frac{\mathrm d^2(F)}{\mathrm dx^2} -S^2 \cdot (F) = K \cdot e^{-ax}$edited title Nov24 revised If$\int_{-\infty}^{\infty}f(x)\ \mathrm dx=100$then$\int_{-\infty}^{\infty}f(100x+9)\ \mathrm dx =?$deleted 2 characters in body; edited title Nov24 comment Why$\mathrm e^{\sqrt{27}\pi } $is almost an integer? math.stackexchange.com/questions/4544/… Nov24 revised Series:$ \sum_{n = 1}^{\infty} \left( \prod_{i = 1}^n (2i - 1) \middle/ \prod_{i = 1}^n 2i \right)^k $removed redundant info, of course help is needed with something, why else would be posted? Nov24 revised Why$\mathrm e^{\sqrt{27}\pi } \$ is almost an integer? added 7 characters in body; edited title