Integration question (obtained from arc length question)

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SUMMARY

The discussion focuses on integrating the function sqrt(1 + 1/2(y^1/2 - y^(-1/2))^2) from 0 to 1. Participants emphasize the importance of verifying the original problem to ensure the correct integrand is used. The integration process requires careful handling of the square root and the expression within it. Accurate interpretation of the integrand is crucial for achieving the correct result.

PREREQUISITES
  • Understanding of definite integrals
  • Familiarity with square root functions
  • Knowledge of algebraic manipulation of expressions
  • Basic calculus concepts, including integration techniques
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  • Review techniques for integrating square root functions
  • Study the properties of definite integrals
  • Explore algebraic simplification methods for complex integrands
  • Learn about numerical integration methods for approximating definite integrals
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Students and professionals in mathematics, particularly those studying calculus, as well as educators looking for integration examples and techniques.

annie122
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how do i integrate the function

sqrt(1 + 1/2(y^1/2 - y^(-1/2))^2) from 0 to 1??
 
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Can you post the original problem in its entirety so we can ensure you have obtained the correct integrand?
 

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