Solving Complex Integration Homework

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SUMMARY

The forum discussion focuses on solving the integral of x^0.5/(1+x^2) from 0 to infinity using complex integration techniques. The primary method suggested is the residue theorem, which is essential for evaluating integrals involving complex functions. Additionally, the possibility of using partial fractions was mentioned as a potential approach to simplify the problem. The discussion highlights the importance of understanding complex analysis for tackling such integrals effectively.

PREREQUISITES
  • Complex analysis fundamentals
  • Residue theorem application
  • Partial fraction decomposition
  • Integration techniques for improper integrals
NEXT STEPS
  • Study the residue theorem in detail
  • Practice partial fraction decomposition with complex functions
  • Explore improper integrals and their convergence
  • Learn advanced techniques in complex integration
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Students and professionals in mathematics, particularly those studying complex analysis and integration techniques, will benefit from this discussion.

hedipaldi
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Homework Statement

Homework Equations

The Attempt at a Solution

 
Last edited:
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hedipaldi said:

Homework Statement



integrate x^0.5/(1+x^2) from 0 t0 infinity by using complex integration.

Homework Equations



residue theorem

The Attempt at a Solution


attached

Try Partial fractions?
 

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