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Math Help - Area Problem

  1. #1
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    Area Problem

    12. The area of the region enclosed by the graph of y = x^2 + 1 and the line y = 5 is

    (A) 14/3
    (B) 16/3
    (C) 28/3
    (D) 32/3
    (E) 8p
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by frozenflames
    12. The area of the region enclosed by the graph of y = x^2 + 1 and the line y = 5 is

    (A) 14/3
    (B) 16/3
    (C) 28/3
    (D) 32/3
    (E) 8p
    Sketch the graph, see attachment. Counting squares indicates this area is
    close to 12 (so answer (D) is probably correct), but we will finish thsi using
    integration.

    <br />
\rm{Area} = \int_2^2 5-(x^2+1)\ dx=\int_2^2 4-x^2\ dx =\left[4x-x^3/3\right]_{-2}^2=(8-8/3) - (-8+8/3)=32/3<br />

    RonL
    Attached Thumbnails Attached Thumbnails Area Problem-gash.png  
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