$\lim_{x\to\infty}\left(\frac{xlnx}{x^{\frac{4}{3}}}\right)$

$\frac{\left(4x-1\right)}{3}\:\:=\:1-\frac{4\left(x-1\:\right)}{7}$

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

$\int\left(\frac{12}{x^2+3x-10}\right)dx$

$\left(6\cdot10^3\right)\left(2\cdot10^5\right)$

$\left(3x^2-\:2x\:+\:1\right)\:\left(5x\:-3x^2\:-\:2\right)$

$\frac{dx}{dt}=5x\left(20-x\right)$