$\frac{dy}{dx}=\frac{5e^2}{4y}$

$\int ln\left(5x^3\right)dx$

$\int\frac{\left(1+lnx\right)^2}{x}dx$

$3x^2+y=14$

$5\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot y\cdot y\cdot y\cdot y\cdot y\cdot y$

$\left(5x^2y^{10}\right)\left(-4x^4y^2\right)$

$\lim_{x\to3}\left(\frac{x^3-4x^2-11x-30}{x-4}\right)$