$\frac{1000}{\infty}$
$\frac{\text{\sin x}+\sin3x}{1+\cos2x}$
$\int x^4\left(8-5x^5\right)^3dx$
$\frac{dy}{dx}x-\frac{y}{3}=3x$
$\lim_{x\to\infty}\left(\frac{x^2+1}{x^2}\right)^{x^2}$
$\int\:\frac{1}{\left(x+8\right)\cdot\left(x+9\right)}dx$
$\int3^{4x^3}x^2dx$
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