$\frac{\left(x-2\right)^n}{\left(n+2\right)\left(3\right)^n}$

$\int x\left(x^2+3x+5\right)dx$

$\lim_{x\to\frac{\pi}{4}}\left(\frac{1-2cos^2xtanx}{cos^2xcos2x}\right)$

$\int\left(x\cdot\sqrt{2\cdot x-1}\right)dx$

$x\frac{dy}{dx}-4y=x^2e^x$

$\left(x^3-2\right)\left(x^3+2\right)$

$-2s-3s+-2s^2$