$\lim_{x\to\infty}\left(\frac{x+1}{x-3}\right)^{\frac{1}{x}}$
$\frac{5}{7}5x^2y-\frac{6}{14}x^2y+\frac{3}{8}xy^2-\frac{6}{16}xy^2$
$\frac{\pi}{2}-\pi$
$\int t\sqrt{t^2+4}dx$
$\:1+2cos2x=\:3cos2x\:-sin2x\:$
$2+4\cdot3^2$
$\frac{x^4-3x^2+2x+2}{x-1}$
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