APFIVE Definite Integrals and Area
All of the following statements about the relationship between definite integrals and area are true EXCEPT:
A
The definite integral always represents the positive area between the function and the x-axis.
B
The definite integral gives the net signed area, subtracting areas below the x-axis from those above.
C
The Fundamental Theorem of Calculus connects an antiderivative to the computation of a definite integral.
D
If the function is positive on the interval, the definite integral equals the actual area under the curve.
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