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7 April, 15:50

The given curve is rotated about the y-axis. find the area of the resulting surface. y = 1 3 x3/2, 5 ≤ x ≤ 12

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  1. 7 April, 19:04
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    The area of the resulting figure will be given by:

    ∫f (x) dx

    f (x) = 13/2x^3

    thus

    ∫f (x) dx=13/2∫x³dx=13/8[x^4]

    integrating over the inerval

    13/8 (12^4) - 13/8 (5^4)

    =32680+3/8 sq. units

    =
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