$\log\left(x^2+4x\right)=\log\left(32\right)$

$\int\left(\cot\left(6x\right)\sin\left(6x\right)\right)dx$

$\frac{dy}{dx}=\frac{5\left(x^2+y^2\right)}{-9xy}$

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

$\lim_{x\to0}\left(\frac{sin\left(3x\right)\cos\left(5x\right)}{x}\right)$

$\int_{5\:}^{\infty}\left(\frac{1}{x}\right)dx$

$-1200xy+900y^2+400x^2$