∫ e^(x²) dx + ln x is: (choose the correct classification)
- Elementary function
- Algebraic function
- Transcendental but integrable in terms of elementary functions
- Non-elementary integral
Explanation
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:
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