Use math induction to prove an expanded integral.

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    Induction Integral
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Homework Help Overview

The discussion revolves around using mathematical induction to prove an expanded integral, a topic within real analysis. The original poster expresses confusion regarding the complexity of the proof compared to previous experiences with induction in discrete math.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants suggest starting with integration by parts and testing the base case for n=1. There is mention of using the induction hypothesis to prove the case for n+1. The original poster indicates an attempt to work through the problem independently.

Discussion Status

The conversation has progressed with some participants providing guidance on initial steps and methods to approach the proof. The original poster expresses a sense of resolution, although the discussion remains open-ended regarding the closure of the thread.

Contextual Notes

The original poster notes feeling lost and attempts to engage with the problem independently, highlighting the challenges faced in understanding the proof's requirements.

pzzldstudent
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I am in intro to real analysis I, and we're on math induction now.

I did okay with math induction when I took discrete math, but it's more complex now.

Here is what we have to prove:

http://answerboard.cramster.com/advanced-math-topic-5-317406-0.aspx"

I'm quite lost. I will try to do as much as I can and see how far I get on my own.

Thank you.
 
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Just start by integrating by parts. First see what happenes when n=1. Use integration by parts, and see whether you get the same thing as on the RHS. After that suppose that the equation holds for n, and prove that it holds also for n+1, by integrating again by parts, and using your induction hypothesis.
 
I think I got it now. Thanks!

(How can I close this thread now that the question's been resolved?)
 
i don't know ,but just leave it like this...it won't be a problem.
 
thanks

ok, thanks.
 

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