$\int\frac{1}{\sqrt{-x^2+10x+11}}dx$

$x=12-y$

$\int\left(\frac{3}{\sqrt{16+x^2}}\right)dx$

$csc\left(x\right)-tan^2\left(x\right)$

$\int\:\left(5x-3\right)^3\cdot\:\:e^{2x}dx$

$\sqrt[3]{\frac{125}{w^6}}\cdot\sqrt[3]{25w}$

$\left(x^{a+1}-3y^{a-1}\right)\left(3y^{a-1}+x^{a+1}\right)$