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Definite Integrals and Area

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All of the following statements about the relationship between definite integrals and area are true EXCEPT:

A

The definite integral gives the net signed area, subtracting areas below the x-axis from those above.

B

The Fundamental Theorem of Calculus connects an antiderivative to the computation of a definite integral.

C

If the function is positive on the interval, the definite integral equals the actual area under the curve.

D

The definite integral always represents the positive area between the function and the x-axis.

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