$\int e^{st}\cos\left(t\right)ds$

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

$y=\frac{5}{x^{-3}}\:+\:\frac{2}{x^{-2}}$

$-\left(x+y\right)+\left(-x\:-\:y\right)-\left(-y+x\right)+\left(3x\:+\:y\right)$

$x^2\:-\:2x\:-\:4$

$\frac{d}{dx}\left(x=y\sqrt{1-y^2}\right)$

$\frac{dy}{dx}=\frac{3x}{5y+1}$