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- Thread starter jacks
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- Feb 5, 2012

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Hi jacks,$\displaystyle (3)\;\; \int \frac{1}{\sqrt{1-x^4}}dx$

This integral cannot be expressed in terms of elementary functions. See this.

Kind Regards,

Sudharaka.

- Jan 26, 2012

- 890

That is strong evidence, but is not water-tight as IIRC neither Mathematica nor Alpha implements the full Risch algorithm and will occasionally drop through to special functions where an elementary integral does exist.Hi jacks,

This integral cannot be expressed in terms of elementary functions. See this.

Kind Regards,

Sudharaka.

CB

- Jul 22, 2012

- 35