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 Sep14 comment Proving $\lim_{n \rightarrow \infty} \frac{\sum_{r=1}^{n} r^a}{n^{a+1}}=\frac{1}{a+1}$ Sep14 answered Proving $\lim_{n \rightarrow \infty} \frac{\sum_{r=1}^{n} r^a}{n^{a+1}}=\frac{1}{a+1}$ Sep14 answered Formula for the floor of $n/2$, to be proved by induction Sep14 comment Number theoretic proof that $n\mid\phi(a^n-1)$ math.stackexchange.com/questions/398165/… Sep14 comment Computing an indefinite integral $$\lim_{n\to\infty}P_n(x)=e^x$$ Sep13 answered Range of inverse trigonometric function Sep13 comment Solve the equation $a+b+c=abc$ for $a,b,c\in\mathbb{Z}$ math.stackexchange.com/questions/613105/… Sep13 comment Decimal expansion of $kn$ contains only $0,7$ for some $k \in \mathbb{N}$ Sep13 answered Alternative of finding theta when sin $\theta$ and cos $\theta$ are given Sep13 comment $\sin ^{-1}(\cos (40 {}^{\circ}))=50 {}^{\circ}$ Relevant point: en.wikipedia.org/wiki/… Sep13 comment Find the integral $\int_{0}^{\frac{\pi}{4}}\frac{\sin{x}\cos{x}}{\sin{x}+\cos{x}}dx$ @user84413, Thanks for your feedback, please find the edited version Sep13 revised Find the integral $\int_{0}^{\frac{\pi}{4}}\frac{\sin{x}\cos{x}}{\sin{x}+\cos{x}}dx$ added 22 characters in body Sep12 comment Find the integral $\int_{0}^{\frac{\pi}{4}}\frac{\sin{x}\cos{x}}{\sin{x}+\cos{x}}dx$ @chinamath, How about this? Sep12 answered Find the integral $\int_{0}^{\frac{\pi}{4}}\frac{\sin{x}\cos{x}}{\sin{x}+\cos{x}}dx$ Sep12 comment Range of function with limit? math.stackexchange.com/questions/264504/… Sep12 awarded Enlightened Sep12 awarded Nice Answer Sep12 comment Solve the equation: $1+2^x+4^x+8^x+16^x+32^x=3(1+2^x+4^x)$ Sep12 answered Solve the equation: $1+2^x+4^x+8^x+16^x+32^x=3(1+2^x+4^x)$ Sep12 comment Show that $\max(\mathrm{Re} (\exp(it)\cdot z) = |z|$ $$(a\cos t+b\sin t)^2+(a\sin t-b\cos t)^2=a^2+b^2\implies a\cos t+b\sin t\le\sqrt{a^2+b^2}$$