The area bounded by the curve y = eˣ, y = e⁻ˣ and the line x = 1 is:
The area bounded by the curve y = eˣ, y = e⁻ˣ and the line x = 1 is:
- A. (e + 1/e − 2) sq units
- B. (e − 1/e) sq units
- C. (e + 1/e) sq units
- D. (e − 1/e − 2) sq units
Answer: A) (e + 1/e − 2) sq units
Explanation: Area = ∫[0 to 1] (eˣ − e⁻ˣ) dx = [eˣ + e⁻ˣ]₀¹ = (e + 1/e) − (1 + 1) = e + 1/e − 2 sq units.
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