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 isOriginally Posted by frozenflames
close to 12 (so answer (D) is probably correct), but we will finish thsi using
integration.
$\displaystyle
\rm{Area} = \int_2^2 5-(x^2+1)\ dx=\int_2^2 4-x^2\ dx$$\displaystyle =\left[4x-x^3/3\right]_{-2}^2=(8-8/3) - (-8+8/3)=32/3
$
RonL