Mathematics

Mathematics

Problem

Let F(x)=∫0xt2e−t2 dtF(x)=\displaystyle \int_{0}^{x} t^{2} e^{-t^{2}}\,dt. Which of the following statements about FF and its derivative is true? a) FF can be expressed using elementary functions, but F′(x)F'(x) cannot. b) Neither FF nor F′(x)F'(x) can be expressed using elementary functions. c) FF cannot be expressed using elementary functions, but F′(x)F'(x) can. d) Both FF and F′(x)F'(x) can be expressed using elementary functions.

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