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Question: The integration of Jacobi elliptic functions

Question:The integration of Jacobi elliptic functions

Vortex 65 Maple 17
integration
September 03 2017
1

Hello everybody.

I'd like to share an observation about the integration of the Jacobi elliptic functions, in particularly the elliptic sine sn(x,k).

It's correct answer. But when I make the integration of the expression

 

according to the Handbook of Elliptic Integrals for Engineers and Scientists we have slightly another result

What is the difference?
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