How to solve $x^2 +\left(\frac{x}{x-1}\right)^2 =8$?
62446
Solve the equation $x^2+\frac{9x^2}{(x+3)^2}=27$
87055
How to prove $\frac{x}{1+x^2}0$?
96112
Differentiating $ \left( 1 - \frac {1}{x} \right)^x $
86169
How do I solve this limit: $\lim _{x \to 0} \left(\frac{ \sin x}{x}\right)^{1/x}$?
113045
How do I find the inverse of $f(x) = \frac{x}{x^2 + 1}$
122361
Evaluate $\int_0^1\left(\frac{1}{\ln x} + \frac{1}{1-x}\right)^2 \mathrm dx$
26474
how can we show $\frac{\pi^2}{8} = 1 + \frac1{3^2} +\frac1{5^2} + \frac1{7^2} + …$?
121177
Prove that $\frac{(2a+b+c)^2}{2a^2+(b+c)^2}+\frac{(2b+c+a)^2}{2b^2+(c+a)^2}+\frac{(2c+a+b)^2}{2c^2+(a+b)^2} \le 8$
157264
Solve $\frac1x+\frac1y=\frac1{pq}$
128647
Calculating square roots using the recurrence $x_{n+1} = \frac12 \left(x_n + \frac2{x_n}\right)$
26814
Solve $\int \frac{1}{\sin ^{\frac{1}{2}}x \cos^{\frac{7}{2}}x}dx$
62966
Find all functions $f(x)$ such that $f\left(x^2+f(y)\right)$=$y+(f(x))^2$
102314
How to find $\int \sqrt{x^8 + 2 + x^{-8}} \,\mathrm{d}x$?
23485
Solving $\forall x \in \mathbb{R}_+^*, f'(x) = f\left(\frac1{x}\right)$
149376
How to Find $ \lim\limits_{x\to 0} \left(\frac {\tan x }{x} \right)^{\frac{1}{x^2}}$.
23112
Solving an equation with rational expressions (step by step)
71547
Prove $ 1+\left( 1-\frac{x}{n}\right)+...+\left(1-\frac{x}{n}\right)^{n-1}=\frac{n}{x}\left(1-\left(1-\frac{x}{n}\right)^n\right)$