$\frac{d}{dx}\left(e^{x^2}\left(1+x\right)^5\right)$

$\int_e^{\infty}1dx$

$\int t^2\cdot\cos\left(\frac{t}{3}\right)dt$

$\int\left(\cos\left(\frac{1x}{31\:}\right)\right)dx$

$\lim_{x\to0}\left(10\sqrt{x}\right)$

$\frac{dy}{dx}=x^8y^9$