$\left(y'\right)^2$

$\int x^4cos\left(2x^5\right)dx$

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

$.27\left(-7\right)$

$\frac{dx}{dy}=au+b$

$\frac{dy}{dx}\:+15xy=\frac{2x}{3y^2}$

$\sin\left(x-\frac{\pi}{4}\right)=\frac{\sqrt{2}}{2}\left(\sin\left(x\right)-\cos\left(x\right)\right)$