$x^3+y^3=y'\left(x\right)$

$\sin^2\left(x\right).\csc\left(x\right)-1$

$\lim_{x\to-1}\left(\frac{2e^{-x-1}-2}{x+1}\right)$

$\int_{10}^{\infty}\left(\frac{lnx}{x}\right)dx$

$\cos^2x-\cos x=2$

$\lim_{x\to\infty}\left(1+\frac{4}{x}\right)^{\frac{x}{3}}e$

$x\cdot e^{x^2}dx\:+\:\left(y^3-1\right)dy=0$