$\int_1^2\left(\frac{4x^2+2x+8}{x\left(x^2+2\right)^2}\right)dx$

$2x^3-4x^4+2x^2$

$\frac{1+\cos^23x}{sen^23x}=2\csc^23x-1$

$\left(2xy+3z+5xy\right)$

$\frac{dy}{dx}x=\left(9x+6\right)y^{\frac{1}{3}}$

$\left(2ye^{8x}\right).\frac{dy}{dx}=3e^{3x}e^{2y}+9e^{2y}$

$\lim_{x\to0}\left(\frac{e^x-1+x}{x}\right)$