$log2\left(x+3\right)+log2\left(2x+6\right)=3$

$\int_{\frac{1}{6}}^{\frac{1}{2}}\left(\csc\left(\pi t\right)\cot\left(\pi t\right)\right)dt$

$\lim_{x\to0}\left(\frac{x^3+3x^2}{x^2}\right)$

$\left(\frac{3}{2}x^{\frac{1}{2}}\right)^2\:$

$\int\left(3x^2+2x\right)\ln\left(x+1\right)dx$

$x2+4x+4x^2+1$

$\left(-3m^2+5n^3\right)\left(3m^2+5n^3\right)$