$f\left(x\right)=\frac{\left(4x-3\right)^3}{\left(2x-3\right)^4}$

$\sqrt{5}+5\sqrt{5}$

$\frac{\cos\left(x\right)}{\sin\left(x\right)}x\sin\left(x\right)^5$

$\int\frac{1}{5-2x^2}dx$

$\frac{dy}{dx}+\frac{12}{x}y=2x^2+7$

$\csc\left(x\right)^2-6\csc\left(x\right)$

$\lim_{x\to\infty}\left(e^{-t}\sin\left(t\right)\right)$