What is integration of 1/(x^2-y^2) dx

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Discussion Overview

The discussion revolves around the integration of the function \( \frac{1}{x^2 - y^2} \) with respect to \( x \). Participants explore methods for solving this integral, including partial fraction decomposition and specific techniques related to the structure of the integrand.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant inquires about the integration of \( \frac{1}{x^2 - y^2} \).
  • Another suggests using partial fraction decomposition as a method to approach the integral.
  • A participant asks for clarification on how to apply the suggested method.
  • One participant proposes a specific case of the integral, \( \int \frac{dx}{x^2 - 1} \), to illustrate the integration process.
  • Another recommends the Heaviside cover-up method for performing the decomposition, providing links to external resources for further guidance.

Areas of Agreement / Disagreement

There is no consensus on a specific method or solution to the integral, as participants are exploring different approaches and clarifications without resolving the overall question.

Contextual Notes

The discussion does not clarify the assumptions regarding the variable \( y \) or the conditions under which the integration is to be performed, leaving these aspects unresolved.

r-soy
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Hi all

what is integration of 1/(x^2-y^2) dx
 
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Re: what is integration of 1/(x^2-y^2) dx

Hey , use partial fraction decomposition ...
 
Re: what is integration of 1/(x^2-y^2) dx

How is that ?
 
Re: what is integration of 1/(x^2-y^2) dx

Assume you want to find the integration of $$\int \frac{dx}{x^2-1}$$ , what is the integration ?
 
Re: what is integration of 1/(x^2-y^2) dx

I would recommend using the Heaviside cover-up method to accomplish the decomposition, as demonstrated in these topics:

http://www.mathhelpboards.com/f52/living-highers-question-yahoo-answers-concerning-partial-fraction-decomposition-3320/

http://www.mathhelpboards.com/f52/dw123s-question-yahoo-answers-regarding-partial-fraction-decomposition-3644/
 

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