$\lim_{x\to\infty}\left(x\left(\sqrt{x^2+1}-\sqrt[3]{x^3+1}\right)\right)$

$\int\left(\frac{\cos x}{\cos^2x}\right)dx$

$\lim_{x\to\infty}\left(\frac{ln\left(e^x+1\right)}{x}\right)$

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

$\frac{dy}{dx}=\frac{\ln\left(x\right)}{x^2}$

$\frac{dx}{dy}=sin5x$

$3y'+4y=2$