$\frac{cos2x-1}{2sinx}$
$\lim_{x\to0}\left(1+\frac{1}{2x}\right)^x$
$25x^2-1$
$\int\frac{8x^3+30x^2+52x+8}{x^2\left(x^2+4x+8\right)}dx$
$\frac{dy}{dx}y=\left(2x+1\right)^2+2x+1$
$\frac{2\sqrt{3}}{2}$
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