$\int e^t\:dx$

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

$\frac{\sqrt{x}-6\left(\sqrt{x}+6\right)}{x-6\left(\sqrt{x}+6\right)}$

$\frac{1}{\sin\left(x\right)^2}-\frac{2}{\sin\left(x\right)}-3$

$\frac{dy}{dx}=\frac{e^{-y}+e^{-2x-y}}{e^x\cdot y}$

$\lim_{x\to\infty}\left(\frac{8x^2+7x-3}{\sqrt{4x^2+1}}\right)$

$a_n\\:=\\:\left(2n\\:-\\:1\right)^2$