$xy^{'\:}-\:2y=\frac{x^3}{sin^2\:\left(x\right)\:\sqrt[4]{cot\left(x\right)}}$

$\frac{33}{x^2\:+3x\:-28}$

$\frac{dy}{dx}=\frac{2x-9}{y}$

$\int_1^{\infty}\left(\frac{1}{\sqrt[4]{x}}\right)dx$

$\int\frac{e^{8x}}{\left(9e^{4x}-5\right)^{\frac{2}{5}}}dx$

$\frac{2x^3-4x^2+3x^1-6}{x^1\:}$

$\int x\sin^3\left(5x^2\right)\cos\left(5x^2\right)dx$