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AP Calculus AB/Unit 8: Applications of Integration
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Fundamental Theorem Of Calculus Properties
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All of the following statements regarding the evaluation of a definite integral using the Fundamental Theorem of Calculus are true except:

A

If $$F(x)$$ is an antiderivative of $$f(x)$$, then $$\int_{a}^{b} f(x) dx = F(a) - F(b)$$.

B

The Fundamental Theorem of Calculus connects differentiation and integration by relating antiderivatives to definite integrals.

C

Reversing the limits of integration changes the sign of the value of the integral.

D

The correct evaluation using the FTC is $$\int_{a}^{b} f(x) dx = F(b) - F(a)$$.

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