imo class 12 application of integrals

Find the area bounded by the curve y = eˣ, the x-axis, and the lines x = 0 and x = 1.

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Find the area bounded by the curve y = eˣ, the x-axis, and the lines x = 0 and x = 1.

  • A. e − 1
  • B. e
  • C. e + 1
  • D. 1

Answer: A) e − 1

Explanation: Area = ∫(0 to 1) eˣ dx = [eˣ] from 0 to 1 = e¹ − e⁰ = e − 1 sq units.

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