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16-04-2021
Mathematics

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Use the shell method to compute the volume (CALCULUS HELP!!!)

Use the shell method to compute the volume CALCULUS HELP class=

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LammettHash LammettHash

17-04-2021

Use the shell method. The volume is

V = 2π ∫₅⁸ (x - 5) x ² dx

V = 2π ∫₅⁸ (x ³ - 5x ²) dx

V = 2π (1/4 x ⁴ - 5/3 x ³) |₅⁸

V = π/6 (3x ⁴ - 20x ³) |₅⁸

V = π/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))

V = 891π/2

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