$\int\left(x+2\right)\cos\left(x\right)dx$

$\left(-\frac{1}{4}x^2y\right)\left(-8x^3y^3+4x^2y^2-16xy+1\right)$

$\int\frac{x^m-x^n}{\sqrt{x}}dx$

$2\left(7x^2+b-1\right)$

$\int\frac{3x}{x-2}dx$

$\left(3a^4-b^3\right)^2$

$\frac{dy}{dx}\left(2\sqrt{x}+2\sqrt{y}=3\right)$