$\frac{d}{dx}\left(y=x+tan^{-1}\left(y\right)\right)$

$\frac{x^2+x^1-1}{3x^2-\frac{3}{2}x}$

$\frac{1}{2}tan^2+\frac{cos2x}{2cos^2}=\frac{1}{2}$

$\log\left(x+2\right)+\log\left(3\right)=\log27$

$-60\::\:-5$

$\int e^{-x+2\ln\left(x\right)}dx$

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