$dr\sin\:\left(\theta\:\right)=r\cos\:\left(\theta\:\right)d\theta\:$

$\left(6ab\:-\:5xy\right)\:\left(6ab\:+\:5xy\right)\:$

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

$\frac{-1}{y\sqrt{y^2-1}}dy=\frac{-1}{\sqrt{1-x^2}}dx$

$36x^6y^4z^2-64$

$\lim_{n\to\infty}\left(\frac{10^9\:lg^2\:\:n}{n}\right)$

$\frac{1}{1+\cos x}=\cot^2x+\csc x\cot x+1$