1,491 reputation
314
bio website
location
age
visits member for 1 year, 10 months
seen 2 days ago

Nov
1
asked How to find the remainder of $\dfrac{a_{2011}}{5}$?
Oct
30
accepted Find maximum of a function 4
Oct
30
accepted Series $f(p)$ is a multiple of $p$
Oct
30
accepted sum and product of two rational numbers are both integers
Oct
30
accepted Can we find positive integers $a$ and $k \geq 2$ with $2^n - 1 = a^k$?
Oct
30
accepted $f:R\to R$ and conti-function and for all $x \in R$, $f$ satisfy
Oct
30
accepted Trigonometric Integral : $\int\frac{1}{\sin x+ 3\cos x}dx$
Oct
30
accepted Finding the summation of the floor of the series identity
Oct
30
accepted show that $a^3+4a=b^2$ then exist $M\in\mathbb{N}$ s.t $a=2M^2$
Oct
30
accepted Given a sequence $ (a_{n})_{n \in \mathbb{N}} $, find $ \sum_{n = 1}^{\infty} \frac{1}{a_{n} + 2} $.
Oct
30
accepted Prove that for every $x \in[0,1]$, there exists $c\in[0,1]$ such that $f(c)=1-f(x)$
Oct
30
accepted There exist $c(c\in \left(\frac{1}{2},1\right)$ s.t $2 \int _{0}^{1}f(x)dx=\frac{f(c)}{c} $
Oct
30
accepted How many solutions are $ a+b+c+d+e = 10 $
Oct
30
accepted How do I solve this exponential equation? $5^{x}-4^{x}=3^{x}-2^{x}$
Oct
30
accepted How to integrate $\int \frac{x^2+\sin x}{2x+\cos x}dx=?$
Oct
30
accepted How to show that $f'(x)<2f(x)$
Oct
30
accepted If $f''(x)$: conti- on $[a,b]$, then there exist $c$ ($c\in[a,b]$) s.t $\int_{a}^{b}f(x)dx=\frac{b-a}{2}(f(b)+f(a))-\frac{(b-a)^3}{12}f''(c)$
Oct
30
accepted prove that $\int_{0}^{1}|f(x)|dx \leq \int_{0}^{1}|f'(x)|dx$
Oct
30
accepted Show that $\sum_{k=1}^{p-1}f(k)=\sum_{k=1}^{p-1}f(qk)$
Oct
25
revised If $f''(x)$: conti- on $[a,b]$, then there exist $c$ ($c\in[a,b]$) s.t $\int_{a}^{b}f(x)dx=\frac{b-a}{2}(f(b)+f(a))-\frac{(b-a)^3}{12}f''(c)$
edited body; edited title