$\int\frac{x^2+2x-6}{\left(x-1\right)^3}dx$

$34-204+135-25+367-513$

$\int_{\frac{\pi}{3}}^{\frac{\pi}{2}}\left(\frac{1}{\left(1+cosx\right)sinx}\right)dx$

$11>3-2x$

$cos\left(u+v\right)+cos\left(u-v\right)=2cos\:u\:cos\:v$

$\int\frac{\sqrt{-x^2+16}}{16}dx$

$12x-9=20x+7$