$6a^2b+24ab^2$

$2x+7\le x+12$

$\int_1^{\infty}\left(\frac{\ln\left(x\right)^7}{x}\right)dx$

$\lim_{x\to0}\left(\frac{a^x\cdot x+x\cdot a^{-x}}{\cos\left(x\right)\cdot x}\right)$

$\lim_{x\to0}\left(tan\left(2x\right)^2\right)$

$y\log\left(y\right)dx+xdy=0$

$\frac{x^3+x^2-12}{x-2}$