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Simon
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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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