imo class 12 application of integrals

The area bounded by y = sec² x, the x-axis and the ordinates x = 0 and x = π/4 is:

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The area bounded by y = sec² x, the x-axis and the ordinates x = 0 and x = π/4 is:

  • A. 1 sq unit
  • B. 2 sq units
  • C. √2 sq units
  • D. 0 sq unit

Answer: A) 1 sq unit

Explanation: Area = ∫[0 to π/4] sec² x dx = [tan x]₀^(π/4) = 1 − 0 = 1 sq unit.

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