[tex]\int(1-x^{4})^{-1/2}dx[/tex](adsbygoogle = window.adsbygoogle || []).push({});

and the integral goes over [0,1]

The book I'm reading says this is an elliptic integral, meaning that it is the integral of a rational function of x and y in which y² is a polynomial in x, of degree 3 or 4, having simple roots.

What does the author possibly mean?

What y? Why y² polynomial in x? Why degree 3 0r 4? And yes, why having simple roots?

Could someone give some hints?

thank you

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# Homework Help: Elliptic integrals

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