$\int\frac{sec^2\left(2x\right)}{1-tan2x}dx$

$\lim_{x\to0}\left(\frac{1-cos\left(5x\right)}{sin\left(10x\right)}\right)$

$\frac{4\left(-1\right)^n}{n-1}x^n$

$4p^4-25$

$\frac{d}{dx}\arcsin\sqrt{3x}$

$\frac{dy}{dx}=\frac{6y}{100}$

$\frac{6}{x^{\frac{1}{2}}}-\frac{15}{x^{\frac{4}{5}}}$