$\int\frac{6x^3-x^2-5x-7}{3x^2-x-2}dx$

$\left(sec\left(x\right)\left(cos\left(x\right)\right)+tan\left(x\right)sin\left(x\right)\right)=sec^2\left(x\right)$

$x^2+2x-6$

$-\left(-1-2-3-4\right)+\left(-5-6-7-8\right)$

$\lim_{x\to5}\left(\frac{x^2-10x+25}{x^2-4x-5}\right)$

$\int\frac{3x}{2x-1}dx$

$\lim_{x\to0}\left(\frac{\sqrt{1+\tan\left(x\right)}-\sqrt{1-\tan\:\left(x\right)}}{x}\right)$