Question: Some elementary functions, such as (x) = sin(x), do not have antiderivatives that are elementary functions. Joseph Liouville proved that does not have an elementary

Some elementary functions, such as ƒ(x) = sin(x²), do not have antiderivatives that are elementary functions. Joseph Liouville proved that

ex - dx X

does not have an elementary antiderivative. Use this fact to prove that

is not elementary.

ex - dx X

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