Several useful integration formulas called reduction formulas are used to automate the process of performing multiple integrations by parts. Prove that for any positive integer , (Use integration by parts with ).

Question

Several useful integration formulas called reduction formulas are used to automate the process of performing multiple integrations by parts. Prove that for any positive integer  ,  (Use integration by parts with  ).

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Several Useful Integration Formulas Called Reduction Formulas Are Used to Automate