[tex]\int \frac{dx}{(1+x^2)^n} \;=\; \frac{1}{2(n-1)}\cdot\frac{x}{(1+x^2)^{n-1}}(adsbygoogle = window.adsbygoogle || []).push({});

\;\;-\;\; \frac{2n-3}{2(n-1)}\int \frac{dx}{(1+x^2)^{n-1}}[/tex]

Can someone prove this?

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# Homework Help: Prove integral

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