Discussion
True or false: every continuous function has an antiderivative expressible in elementary terms.
Answer: D
The fundamental theorem guarantees that \( \int_{a}^{x} f(t)\,dt \) is an antiderivative of a continuous \( f \), so one always exists. Whether it can be written with the elementary functions is a separate question, and \( e^{-x^{2}} \) is the standard case where it cannot
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