How can it's solve using Leibniz Rule or other rule

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Discussion Overview

The discussion revolves around solving a mathematical problem using Leibniz Rule or other integration techniques, specifically focusing on integration by parts and induction. Participants explore various approaches and specific cases related to the problem.

Discussion Character

  • Exploratory, Technical explanation, Homework-related, Mathematical reasoning

Main Points Raised

  • Some participants suggest using integration by parts and induction as potential methods for solving the problem.
  • One participant requests additional resources or suggestions after struggling to solve the problem.
  • A participant proposes examining the case when ##m=1##, providing a specific value for this case.
  • Another participant encourages working through the case when ##m=k+1## and relating it to the integral for the case ##m=k## to aid in organizing a proof by induction.
  • A later reply expresses gratitude for the helpful concept and indicates that they were able to solve the problem.

Areas of Agreement / Disagreement

There is no clear consensus on a single method for solving the problem, as participants propose different approaches and explore specific cases without resolving the overall question.

Contextual Notes

Some assumptions about the problem and the definitions of the variables involved may be missing, which could affect the clarity of the discussion.

Md. Abde Mannaf
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I would suggest using integration by parts and induction.
 
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fzero said:
I would suggest using integration by parts and induction.
i try. bt connot solve it. can you give me useful link or suggestion
 
Can you work out the case when ##m=1##?
 
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fzero said:
Can you work out the case when ##m=1##?
yes. when m=1 then value is = -1/(p+1)^2
 
Did you use the formula or integration by parts? Try the same kind of integration by parts when ##m=k+1##. You should be able to relate one of the terms to the integral for the case ##m=k##. This should suggest how to organize the proof by induction.
 
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fzero said:
Did you use the formula or integration by parts? Try the same kind of integration by parts when ##m=k+1##. You should be able to relate one of the terms to the integral for the case ##m=k##. This should suggest how to organize the proof by induction.
your concept is very useful. thank you. i solve it. thank you very much again.
 

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