Arjang
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 Jan27 revised Integral: $\int \frac{dx}{\sqrt{x^{2}-x+1}}$ edited title Jan27 revised Convergence of $\sum_{k=1}^\infty k\sin\frac1k$ edited body; edited title Jan27 revised Let $p^3+q^3=4$ and $pq=2/3$ . Find $p+q$. edited title Jan27 revised How to compute $\sum\limits_{a=1}^{\infty}\int_0^b\lambda\left(\int_0^{\lambda}e^{-t}t^{a-1}dt\right)d\lambda$ edited title Jan26 revised Why $(10^ab+c)^{4d+1}-c \mid 10$? edited title Jan26 revised Integral $\int_\tau^\infty e^{\frac{-g_m}{\bar\gamma_m}}\frac{dg_m}{1+Pg_m}$ deleted 64 characters in body; edited title Jan26 revised Integral $\int_0^\infty \frac{e^{-cy} dy }{1+ay}$ deleted 40 characters in body; edited title Jan26 comment show that $e=(\frac{2}{1})^{\frac{1}{1}}(\frac{4}{3})^{\frac{1}{2}}(\frac{6\cdot8}{5\cdot7})^{\frac{1}{4}}…$ Can you add some more details please Jan26 revised show that $e=(\frac{2}{1})^{\frac{1}{1}}(\frac{4}{3})^{\frac{1}{2}}(\frac{6\cdot8}{5\cdot7})^{\frac{1}{4}}…$ edited tags Jan25 revised how to evaluate the integral $\int_0^{2\pi} \frac{\sin{nx}\cos{nx}}{\sin{x}}dx$? edited title Jan25 revised convergence of $(1+\frac{1}{2})(1+\frac{1}{4})\ldots(1+\frac{1}{2^n})$ edited tags; edited title Jan25 revised Simplify the sum $\sum_{k=1}^{\infty} (\frac{1}{2})^kk$ customary index is k not x Jan25 revised Last 2 digits of $2345^{369}$ added 18 characters in body; edited title Jan25 revised $n \mid k^2 \land n+1 \mid l^3 \land n+2 \mid m^4 \to n=?$ edited title Jan25 revised $n \mid k^2 \land n+1 \mid l^3 \land n+2 \mid m^4 \to n=?$ edited title Jan25 revised How do I evaluate $\int \cot^2x$? edited title Jan25 comment Where can I find a text with this result? I might have seen in it in the Spivak's Calculus, but I am not sure, that was 25 years ago. Jan25 revised $\int\limits_{a}^{b} f(x) dx = b \cdot f(b) - a \cdot f(a) - \int\limits_{f(a)}^{f(b)} f^{-1}(x) dx$ proof edited tags Jan25 comment Prove the limit as $x$ approaches $0$, $\frac{\sin(x)}{x}$ approaches $1$ using the epsilon delta definition What is $\sin x$ without taylor series? Jan23 revised Convergence of $\sum_{n=1}^{\infty} \int_n^{n+1} e^{- \sqrt x} dx$ edited tags