Math

Fiind the area bounded by the parabola y^2 = 8x, the x axis and the line x=2

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  1. I think the answer is 2.25V.

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  2. a = ∫[0,2] √(8x) dx
    = √8 (2/3 x^3/2) [0,2]
    = 2√8/3 (2√2)
    = 16/3

    a = ∫[0,4] 2-y^2/8 dy
    = 4y - y^3/24 [0,2]
    = 8 - 64/24
    = 16/3

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