$\frac{4x^2+4x+7}{x^2+1}$
$y-xy=y^2e^y\frac{dx}{dy}$
$\frac{9b^3}{11b^1}$
$\left(a^2+\:3\right)^3$
$xdx+e^{3x}dy=0$
$\int4\sin\left(2x\right)^2dx$
$\int\frac{2x+1}{\left(x+1\right)^2}dx$
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