imo class 12 definite integration

What is the value of ∫[1 to 4] 1/√x dx?

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What is the value of ∫[1 to 4] 1/√x dx?

  • A. 3
  • B. 1
  • C. 2
  • D. 4

Answer: C) 2

Explanation: ∫ x^(-1/2) dx = 2x^(1/2) = 2√x. Evaluating from 1 to 4: 2√4 - 2√1 = 2(2) - 2 = 2.

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