$\int\frac{x^3}{\sqrt{x^2+2x+5}}dx$

$\lim_{x\to\infty}\left(\frac{6x^2-12x}{x-2}\right)$

$\frac{d}{dx}ln\left(xy\right)=xy$

$\int_1^e\frac{2\ln^3\left(x\right)}{x}dx$

$\int\frac{1}{\left(4x+1\right)\left(x^2+4\right)}dx$

$\frac{\cot+\cot}{\tan+\tan}=\cot2$

$+2+6-1-3$