$\sqrt{y}-\sin\left(x\right)=8$

$\left(xy-3-3y+x\right)dy=\left(xy-2+2y-x\right)dx$

$\:\left(4x-\frac{-3}{2}y\right)^2$

$\frac{3}{w^2-w}$

$\int\frac{2x^{3}-4x-8}{\left(x^{2}-x\right)\left(x^{2}+4\right)}dx$

$-5x^2+22x-8$

$\lim_{x\to\infty}\left(\frac{3}{x+1}\right)$