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Region bounded by y = 4 − x², x ∈ [−2,2]
Region bounded by y = 4 − x², x ∈ [−2,2]. b) Shell method: V = 2π ∫₀² x(4 − x²) dx = 8π c) Disk method: x² = 4 − y ⇒ radius² = 4 − y V = π ∫₀⁴ (4 − y) dy = 8π
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