imo class 12 definite integration

Find the value of ∫[1 to e] 1/x dx.

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Find the value of ∫[1 to e] 1/x dx.

  • A. e
  • B. 0
  • C. 1
  • D. 1/e

Answer: C) 1

Explanation: The anti-derivative of 1/x is ln|x|. Evaluating from 1 to e: ln(e) - ln(1) = 1 - 0 = 1.

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