Reduction formula integration method help

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The discussion centers on the reduction formula as a method for solving integration problems, highlighting a lack of comprehensive resources on the topic. The main inquiry is whether there is a general method to derive the reduction formula for any function of the form u^n. Participants suggest that the approach may depend on the specific function being integrated. Integration by parts is mentioned as a well-known technique for deriving reduction formulas. Overall, the conversation emphasizes the need for clearer guidance on creating reduction formulas for various functions.
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Homework Statement


Well, I've been doing a lot of research about the reduction formula as a method for resolving integration problems. However, not much information on the topic is to be found about the topic. The only things i get to find are examples with the formulas already given, which is cool, but still not what i need.

The Question is ¿is there a general method to find the reduction formula for any given u^n function?
Thanks.
 
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It depends on the function it self.
Personally, I think integration by parts is the famous way of finding the reduction formulas.
 

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