$\lim_{x\to\infty\:}\left(\frac{x^2+\sqrt{x}}{x^2-\sqrt{x}}\right)$

$k^2-1$

$\frac{dy}{dx}\left(x^2+y^2\right)=yx$

$\int x^5+x^4+19x^3+28x^2+90x+162dx$

$\ln\left(2x-1\right)-\ln\left(3x+1\right)=\ln\left(e^2\right)$

$\int\frac{3}{\sqrt{4x^2+9}}dx$

$\cos\left(m\right)\frac{dr}{dm}-r\:\cdot\sin\left(m\right)=4$