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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
).
Dereliction
A state of neglect or disrepair, often used to describe property that has been abandoned or not maintained, or the failure to fulfill duties or obligations.
Directly
In a straight line or manner, without deviating; also means without intervening factors or intermediaries.
Distress
Extreme anxiety, sorrow, or pain; a negative psychological state caused by external and internal stressors, affecting an individual's emotional well-being.
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