# ∫((y^2)/(x^2y+y^3))dx

$\int \left(\frac{{y}^{2}}{{x}^{2}y+{y}^{3}}\right)dx$
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aprovard

$\int \left(\left({y}^{2}\right)/\left({x}^{2}y+{y}^{3}\right)\right)dx=y\int \left(1/\left({y}^{2}+{x}^{2}\right)\right)dx=y\ast 1/y{\mathrm{tan}}^{-}1\left(x/y\right)$
$:\int \left(\frac{1}{{x}^{2}+{a}^{2}}\right)dx=\frac{1}{\mathrm{arctan}\left(\frac{x}{a}\right)}$