∫ e^(x²) dx + ln x is: (choose the correct classification)

FGEI Past Papers, Syllabus / All — Multiple-choice practice

  1. A. Algebraic function
  2. B. Elementary function
  3. C. Transcendental but integrable in terms of elementary functions
  4. D. Non-elementary integral

Correct answer

Non-elementary integral

Explanation

Explanation ∫ e^ x^ 2 d x cannot be expressed in terms of elementary functions (i.e., polynomials, exponentials, logarithms, trigonometric functions, etc. ). It is a non-elementary integral , though it exists and can be expressed using special functions like the error function : ∫ e^ x^ 2 d x = not elementary

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