$\frac{4x}{3}+\frac{x}{4}$

$\int\frac{3x^2+5x}{\left(x-1\right).\left(x+1\right)^2}dx$

$1+\frac{1}{16\sqrt{x^3}}+\frac{1}{16\sqrt{x^5}}-\frac{1}{8x^2}$

$10x^{2\:}-20x+1$

$-7+4-1$

$\lim_{x\to1}\left(\frac{2\sin\left(2-2x\right)+3x^2}{4x^2-4x}\right)$

$\frac{d}{dx}x^2y^2-2x=1$