Question

reduction question below

Answer 1

\[I_{n}=\int\limits_{0}^{1}\frac{ 1 }{ \left( 1+x ^{2} \right)^{n} } dx\]

Answer 2

Prove that, fro every positive integer n,\[2n I_{n+1}=2^{-n}+(2n-1)I _{n}\]

Answer 3

Please, ask your question in the 'Mathematics' group.