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March 24, 2017

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Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.
y = x2, y = 1; about y = 6

  • Calc2 - ,

    Hint: use the disk method
    Find the intersection of x² and y=6, which is x=±sqrt(6).
    You may want to integrate with x=-sqrt(6) to +sqrt(6)
    πf(x)^2 dx [equiv. to πr²]
    where
    f(x)=x²-1 [i.e. from y=1 to y=x^2]

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