Discussion
Antiderivative of certain elementary functions cannot themselves be expressed as
Answer: A
Some elementary functions have antiderivatives that cannot be written as elementary functions at all.
\[ \int e^{-x^{2}}\,dx, \qquad \int \frac{\sin x}{x}\,dx \]
Both integrals exist, but neither can be expressed with finitely many algebraic, exponential, logarithmic and trigonometric operations. New named functions - the error function, the sine integral - are defined for them.
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