Evaluate: ∫ x log x dx
Evaluate: ∫ x log x dx
- A. (x²/2) log x - x²/4 + C
- B. x² log x - x²/2 + C
- C. (x²/2) log x + x²/4 + C
- D. x log x - x + C
Answer: A) (x²/2) log x - x²/4 + C
Explanation: By parts: u = log x, dv = x dx. v = x²/2. uv - ∫ v du = (x²/2) log x - ∫ (x²/2)(1/x) dx = (x²/2) log x - x²/4 + C.
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