Guidance on using ELLIPKE function

I have an integral:
sqrt(1+(4*a*x^3+3*b*x^2+2*c*x+d)^2)
and have read that using the ellipke function could help me to get a numerical solution for this arc length calculation. I am completely unsure how to use this function and matlab, like always, is of no help.
Any help would be greatly appreciated.

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Asked:

on 30 Jun 2014

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on 20 Aug 2021

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