Coefficient of $x^{-2}$ in expression $(x-1/x)^{12}$
32122
Find the coefficient of the term $x^2$ in $\left(x+\frac 2x\right)^{4}$
23726
A closed form for $1^{2}-2^{2}+3^{2}-4^{2}+ \cdots + (-1)^{n-1}n^{2}$
61047
Find the coefficient of ${x^9}$ in the expansion of $ (1 + x)( 1 + x^2)( 1 + x^3)..(1 + x^{100})$
24589
Integral of $1/(x^2-1)^2$
10548
The equation $-1 = x^2 + y^2$ in finite fields
22486
What does $\log^{2}{x}$ mean?
50875
How to reduce expressions with complex coefficients in the form of a+0.*I
128540
Formal power series coefficient multiplication
78632
Summation equation for $2^{x-1}$
152074
How to find out the global minimum of the following expression
144773
function $f(x)=x^{-(1/3)}$ , please check whether my solution is correct?
125512
Doubt regarding divisibility of the expression: $1^{101}+2^{101} \cdot \cdot \cdot +2016^{101}$
21121
Express $w$ and $1/w$ for $w=\frac {\sqrt2+\sqrt3}{\sqrt5-\sqrt3}$ in the simplest form with a rational denominator
4340
Why does $1+2+3+\cdots = -\frac{1}{12}$?
4265
Finding the Moment Generating Function of $X^2$ when $X\sim N(0,1)$
42805
Show that $\int\limits_0^1 \left(x^{x}\right)^{\left(x^{x}\right)^{\left(x^{x}\right)^{\left(x^{x}\right)^{⋰}}}}\ \mathrm{d}x=\frac{\pi^2}{12}$.
142715
Manipulating expression $(\frac{1}{4}+\frac{1}{2^{n+1}})(1-\frac{1}{2^{n+1}})$ in inductive step.