$\lim_{x\to\infty}\left(\frac{3x^2-\sin\left(2x\right)}{x^2+1}\right)$

$3^2.3^0+15+8^2.\left(4+3\right)^1-20.3+12$

$\frac{1}{\tan\left(x\right)+\frac{1}{\tan\left(x\right)}}$

$x^{-0.5}$

$m^{12}+x^{18}$

$\int e^{-1000x}\cdot\sin\left(1000x\right)dx$

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