$4x-3x^{-1}+5+5x-3+4-3x^{-2}$

$\int_0^{\infty}\left(\frac{arctg\left(2x\right)}{\pi\cdot\left(1+4x^2\right)}\right)dx$

$\sen^{2}a-\cos^{2}a$

$\frac{dy}{dx}=3y^{\frac{2}{3}};\:y\left(0\right)=0$

$4\:sec^4\frac{x-1}{4}$

$y\sqrt{x^2-3}\frac{dy}{dx}=2x$

$x^{\left\{x+1\right\}\text{left}\left(x+1\text{right}\right)^x}$