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Home › CBSE Class 12 (Commerce) › Mathematics › Application of Integrals › The bell-shaped curve y = 1/(1 + x²) over [0, 1]…

The bell-shaped curve y = 1/(1 + x²) over [0, 1] bounds an area of

Aπ/3 sq units
B1 sq unit
Cπ/4 sq units
Dπ/2 sq units
Answer & Solution
Correct answer: C. π/4 sq units
The antiderivative is tan⁻¹x, and tan⁻¹1 - tan⁻¹0 = π/4.
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