$sec^2\left(\theta\:\right)+tan^2\left(\theta\:\right)cos^2\left(\theta\:\right)+cos^2\left(\theta\:\right)$

$\int\cos\left(\frac{1}{4}x\right)dx$

$\frac{9x^{3}y^{8}}{45x^{2}y^{6}}$

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

$\frac{x^8-16}{x^2+2}$

$\int e^{20x-23}dx$

$\frac{dy}{dx}=x+u+ux$