$\int\sin\left(x\right)\cos\left(4\cos\left(x\right)-5\right)dx$

$\frac{dy}{dx}4xy=5x$

$\int te^{-8t}dt$

$\int\frac{x^3}{\sqrt{6+x^4}}dx$

$\lim_{x\to\infty}\left(\ln\left(x\right)-\ln\left(x+1\right)\right)$

$\frac{d}{dx}1+x^2\cdot\arctan x-x$

$\lim_{t\to0}\left(\frac{2^{\ln\left(t+1\right)}-1}{t}\right)\:$