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I

For all n ∈ Natural numbers (exclusively 0), n≠1: I

Can someone prove this?

_{n}= Integral(1/((1+x^{2})^{n})dxFor all n ∈ Natural numbers (exclusively 0), n≠1: I

_{n}= 1/(2(n-1)) * x/((1+x^{2})^{n-1}) + (2n-3)/(2(n-1))*I_{n-1}Can someone prove this?

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