$\int\frac{1}{\left(2-4x-x^2\right)^{\frac{5}{2}}}dx$

$\frac{y}{x^2}=10$

$\lim_{x\to0}\:\left(\frac{1+tan\left(x\right)}{1+\:sen\:\left(x\right)}\right)^{\frac{1}{sen\left(x\right)}}$

$8-4-6-9+14-12+15-49$

$\int\left(2x\ln\left(x\right)\right)\ln dx$

$f\left(x\right)=\frac{2x^2}{x^3-3}$

$\frac{dy}{dx}\csc\left(x\right)=\frac{y^3}{2}$