$sec\left(2\theta\right)=\frac{sec^2\left(\theta\right)}{1-tan^2\left(\theta\right)}$

$xy+\left(x^2+1\right)\frac{dy}{dx}=1$

$\int\left(x+3\right)\left(x-1\right)^{0.5}dx$

$\int_0^{\pi}5\sin x\:dx$

$\lim_{x\to1}\left(\frac{x^2+3x-2}{x-1}\right)$

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

$\int\left(\frac{x+3}{x-3}\right)dx$