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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 about the Fundamental Theorem of Calculus and the evaluation of definite integrals are true EXCEPT:

A

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

B

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

C

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

D

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

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