Need help with partial fractions integral for flux through a cube?

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SUMMARY

The discussion centers on calculating the integral of the function 1/(((L2)/4)+y2) to prove the flux through a cube from a wire passing through it, equating to Qenc/epsilon0. Participants recommend using a trigonometric substitution instead of partial fractions to simplify the integral. This approach is favored for its efficiency in solving the problem without revisiting partial fractions. The conversation emphasizes the importance of selecting appropriate techniques in integral calculus for physics applications.

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  • Understanding of integral calculus
  • Familiarity with trigonometric substitutions
  • Knowledge of electric flux concepts
  • Basic principles of electromagnetism
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  • Research trigonometric substitution techniques in integral calculus
  • Study the concept of electric flux and Gauss's law
  • Explore advanced integration methods for physics applications
  • Review partial fraction decomposition for comparative analysis
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Students in physics or engineering courses, particularly those studying electromagnetism and integral calculus, as well as educators seeking effective teaching strategies for complex integration techniques.

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Homework Statement



integral of: 1/(((L2)/4)+y2)This is for proving the flux through a cube from a wire going through it is = Qenc/epsilon0

All that's left for one face after taking out constants is the above equation, and I really don't want to go re learn how to do partial fractions again. Any help?
 
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Use a trig substitution, rather than partial fractions.
 
Mark44 said:
Use a trig substitution, rather than partial fractions.

alright, was just waiting for someone to say it :)
 

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