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

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The integration of 1/(x^2 - y^2) can be approached using partial fraction decomposition. To illustrate this method, an example integral of 1/(x^2 - 1) is suggested. The Heaviside cover-up method is recommended for performing the decomposition effectively. Additional resources are provided for further clarification on partial fraction decomposition techniques. Understanding these methods is essential for solving integrals of this form.
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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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