imo class 12 definite integration

Find the value of ∫[0 to π/4] sec²x dx.

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Find the value of ∫[0 to π/4] sec²x dx.

  • A. 0
  • B. 1
  • C. √2
  • D. ∞

Answer: B) 1

Explanation: The anti-derivative of sec²x is tan x. Evaluating from 0 to π/4: tan(π/4) - tan(0) = 1 - 0 = 1.

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