$\int\frac{7}{\left(x-2\right)\left(x-1\right)^2}dx$

$\lim_{x\to-1}\left(\frac{x^4+2x^2-3}{x+1}\right)$

$\frac{dy}{d\theta\:}+\left(r\right)tan\theta\:=cos\theta\:$

$\frac{9}{1-sin\left(a\right)}+\frac{9}{1+sin\left(a\right)}$

$\int_0^{\frac{\sqrt{2}}{2}}\frac{1}{\left(1-x^2\right)^{\frac{3}{2}}}dx$

$\frac{du}{dt}=\:\frac{\left(u+1\right)\left(t+1\right)}{\left(u+2\right)\left(t-1\right)}$

$\frac{dy}{dx}=\frac{\sqrt[2]{y}}{\sqrt[2]{x}}$