$\int4xcos\left(\frac{x}{2}\right)dx$

$x^{3+1}$

$2x-4=\sqrt{x+8}$

$\lim_{x\to-\infty}\left(\frac{5x+\sqrt{x^2-1}}{\sqrt{x^2+4}}\right)$

$\frac{1}{2}\left(4-x\right)^{\frac{1}{2}}=0$

$\lim_{x\to2}\left(x^3-1\right)$

$\frac{d}{dx}\left(x\sin\left(y\right)+y\sin\left(x\right)=0\right)$