$\cos\left(x-\frac{3\pi}{2}\right)$

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

$\int\left(8-36x\right)\left(4x-9x^2-9\right)^6dx$

$\frac{dy^3}{dx^3}=x+senx$

$\int\left(-8\sin\left(2x\right)\right)dx$

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

$\left(7x^3+1\right)^4\cdot3x^2$