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Question: How do I solve elliptic integrals with symbolic inputs with output in Legendre's form ( in terms of the input variables) in maple?

Question:How do I solve elliptic integrals with symbolic inputs with output in Legendre's form ( in terms of the input variables) in maple?

itsviku 10 Maple 2023
integration legendre elliptic-integral
November 08 2023
2

I want to solve the following elliptic integral with symbolic inputs a, b, c, and d, and requires a closed-form solution in Legendre's form in terms of these input variables. I want to know how can I solve this using Maple

  int(1/sqrt((a - t)(t - b)(t - c)(t - d)), t = b .. a)

Condition: a>t>b>c>d

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