Consider a non elementary integral with an integrand like $\frac{\exp(x)}{x}$ or $\exp(\exp(x))$. Is the indefinite integral of such functions necessarily non elementary ?
2026-03-25 17:22:53.1774459373
Is the integral of a non elementary integral also non elementary?
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A non-elementary integral gives you a non-elementary function. For example: $$\int\frac{\sin x}{x}dx$$Is a non-elementary function. Taking the integral of a non-elementary function results in a non-elementary integral (as given in one of the answers here)