imo class 12 definite integration

What is the value of ∫[0 to 1] 1/(1 + x²) dx?

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What is the value of ∫[0 to 1] 1/(1 + x²) dx?

  • A. π/2
  • B. π/4
  • C. π
  • D. 1

Answer: B) π/4

Explanation: The anti-derivative is tan⁻¹(x). Evaluating from 0 to 1: tan⁻¹(1) - tan⁻¹(0) = π/4 - 0 = π/4.

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