$\int\left(1+6^{\tan\left(x\right)}\right)^2\sec^2\left(x\right)dx$

$\int\frac{x^3\:}{\sqrt{x^2-16}}dx$

$\lim_{x\to0}\left(14xe^{\frac{1}{x}}\right)$

$\frac{dx}{dy}=e^{4y}+2x$

$\int_0^{\frac{3\pi}{2}}\left(cos2x\right)dx$

$\frac{2b^{-1}}{2b^4}$

$\frac{18xy^6}{-6y^5}$