AP Calculus

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Special Focus: The Fundamental Theorem of Calculus 16. 1998 AB11 b If f is a linear function and 0 < a < b, then ∫ f ′′( x) dx = (A) 0 (B) 1 (C) ab 2 (D) b − a (E) b − a 2 a 2 2 17. 1998 AB15 ∫ x 3 If F( x) = t + 1 dt, then F ′( 2 ) = 0 (A) –3 (B) –2 (C) 2 (D) 3 (E) 18 18. 1998 AB88 Let F(x) be an antiderivative of ( ln x) 3 . If F(1) = 0 then F(9) = x (A) 0.048 (B) 0.144 (C) 5.827 (D) 23.308 (E) 1,640.250 AP® Calculus: 2006–2007 Workshop Materials 87
Special Focus: The Fundamental Theorem of Calculus 19. 1998 BC88 x Let g( x) = ∫ f ( t) dt, where a ≤ x ≤ b. The figure above shows the graph of g on a ⎡⎣ a, b⎤ ⎦ . Which of the following could be the graph of f on ⎡⎣ a, b⎤ ⎦ ? 88 AP® Calculus: 2006–2007 Workshop Materials
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AP Calculus

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