The result of the integral
based on the <em>incomplete</em> graph of
is approximately 35.943. (Choice C)
<h3>Determination of an integral based on a graph and a given expression</h3>
Based on the information given on the figure, we have a set of points which resembles a <em>second order</em> polynomial, whose expression can be found by the fact that coefficients can be found by know three <em>distinct</em> points:
,
, 
Then, we form the following system of linear equations:
(1)
(2)
(3)
The solution of this system is:
,
,
. Then, the expression of the <em>first</em> derivative is:
(4)
And the <em>second</em> derivative is:
(5)
Then, we have the following integral equation:





This choice that is closest to this result is C. 
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