MHB Integration question (obtained from arc length question)

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The discussion revolves around integrating the function sqrt(1 + 1/2(y^1/2 - y^(-1/2))^2) from 0 to 1. Participants request the original problem to verify the correctness of the integrand. Clarification on the integration process and potential methods is sought to ensure accurate results. The focus is on understanding the integration steps and confirming the function's formulation. Accurate integration requires a clear definition of the problem to avoid errors.
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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