$\frac{dy}{dx}=8\sin\left(2x\right)$

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

$\int e^{10x}\:dx$

$\lim_{x\to\infty}\left(\frac{7}{2x+1}\right)$

$\frac{5^2-36x+48}{x\left(x-4\right)^2}$

$6x^2-24x+24$

$\left(\frac{3^{3}\times3^{4}\right)^{3}}{3^{5}}$