imo class 12 indefinite integration

∫ln x dx equals:

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∫ln x dx equals:

  • A. x ln x − x + C
  • B. 1/x + C
  • C. x ln x + x + C
  • D. (ln x)²/2 + C

Answer: A) x ln x − x + C

Explanation: Let u = ln x (first function), dv = dx. du = (1/x)dx, v = x. ∫ln x dx = x ln x − ∫x(1/x)dx = x ln x − x + C.

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