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Calculate elliptic integrals with W|A?

Posted 2 months ago
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I need to find a computable form for the height h of a sinusoidal function of length L, whose arc length is required to be 2pi. Therefore I asked Wolfram Alpha for the integral integrate(sqrt(a+(bcos(c*x)))dx, but received a solution I’m having a lot of trouble with. In particular I do not know how to use the term E(c x|(b^2/(b^2+a)). Of course I’ve tried asking WolframAlpha but there’s not much help forthcoming. I hope someone can help me onto the right path :)

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