Legendre functions $Q_n(x)$ of the second kind(adsbygoogle = window.adsbygoogle || []).push({});

\begin{equation*}

Q_n(x)=P_n(x) \int \frac{1}{(1-x^2)\cdot P_n^2(x)}\, \mathrm{d}x

\end{equation*}

what to do after this step?

how can I complete ?

I need to reach this formula

\begin{equation*}

Q_n(x)=\frac{1}{2} P_n(x)\ln\left( \frac{ 1+x}{1-x}\right)

\end{equation*}

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# Legendre second kind

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