Find the coefficient of $x^n$ in $\frac{x^4}{(1-x^2)(1-x)^2}$
74081
Find coefficient of $x^{n}$ in $\frac{1}{(1-x)^3(1+x)^2}$
143878
Solve: $\int x^3\sqrt{4-x^2}dx$
36906
Prove that $x^n+x^{-n} \in \mathbf{N}$ if $x+\frac1x \in \mathbf{N}$
126402
How to factor a fourth degree polynomial
120981
$(x-x_0)^0$ in power series
158774
Series of binomial coefficients: $\sum\limits_{n=k}^{\infty}{\binom nk}x^n=\frac{x^k}{(1-x)^{k+1}}$
68639
given $I_{n}=\int^1_{0}x^n\sqrt{1-x^2}dx$, then finding value of $ \frac{I_{n}}{I_{n-2}}$
53519
Finding $\int_0^1{\frac{x^4(1-x)^4}{1+x^2}}dx$
87065
Recurrence relation for the integral, $ I_n=\int\frac{dx}{(1+x^2)^n} $
88708
An integration of product $(1-x^n)$
124131
Show that $(x-1)^2$ is a factor of $x^n -nx +n-1$
4265
Finding the Moment Generating Function of $X^2$ when $X\sim N(0,1)$
62067
Inverse function of $x^x$
116795
Easiest way to extract the coefficient of a polynomial
100080
Proving with induction $(1-x)^n<\frac 1 {1+nx}$
1379
Summation of $n^2x^n$ terms
47792
Integer coefficient polynomial - values as powers of 2