Meaning of hypergeometric function as an answer to an indefinite integral.

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syms a x real
expression= sqrt(1+a^2/x^4);
F = int(expression,x);
This yields F to be a "hypergeometric function". Does that mean that a closed form indefinite integral does not exist for 'expression'?

Answers (1)

Ameer Hamza
Ameer Hamza on 30 Sep 2020
Yes, it means that the symbolic integral can only be expressed in term of an infinite series: https://en.wikipedia.org/wiki/Hypergeometric_function

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