$\frac{\left(\sec\:\:\left(x\right)-\tan\:\:\left(x\right)\right)^2+1}{\csc\left(x\right)\left(\sec\left(x\right)-\tan\left(x\right)\right)}=2\tan\left(x\right)$

$\frac{dy}{dx}=-2+3e^{-2x}$

$\int\left(\frac{\left(ln\left(3x\right)\right)^4+2}{x}\right)dx$

$\left(-5v^{3}-9v^{2}+6v\right)-\left(-5v^{3}+9v^{2}-6t\right)$

$1\:+\:tan^2x\:=\:1\:+\:\frac{sin^2}{cos^2}x$

$a^4-\left(b+c\right)^2$

$\int\frac{x^2}{x^2+x-12}dx$