Let the area enclosed between the curves ∣ y ∣ = 1 − x 2 and x 2 + y 2 = 1 be α . If 9 α = β π + γ ; β , γ are integers, then the value of ∣ β − γ ∣ equals.

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​ Required area = π − 4 ∫ 0 1 ​ ( 1 − x 2 ) d x = π − 4 [ x − 3 x 3 ​ ] 0 1 ​ = π − 4 × 3 2 ​ = π − 3 8 ​ ∴ α = π − 3 8 ​ 9 α = 9 π − 24 → β = 9 , γ = − 24 ∣ β − γ ∣ = ∣9 + 24∣ = 33 ​

Mathematics - Area Under Curves Question with Solution | TestHub

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