If f x 2 x 2 1 t 3 1 dt then f 1 A B 1 3 C 2 3 D 2 E undefined CHAPTER 4

# If f x 2 x 2 1 t 3 1 dt then f 1 a b 1 3 c 2 3 d 2 e

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9.Iff(x) = 2 x 2 1 t 3 + 1 dt , then f (1) = A)0B)13C)23D)2E)undefined CHAPTER 4. INTEGRALS 131 10.If b a f ( x ) dx = 3 and b a g ( x ) dx = 2, then which of the following must be true? I. f ( x ) > g ( x ) for all a x b II. b a [ f ( x ) + g ( x )] dx = 1 III. b a [ f ( x ) g ( x )] dx = 6 11.The graph offis shown below. Approximate 3 3 f ( x ) dx using the trapezoid rule with 3 equal subdivisions. 1 2 3 4 f 12.If k 0 sec 2 x 1 + tan x dx = ln 2, then the value of k is 132 The AP CALCULUS PROBLEM BOOK 13.The graph of the functionfon the interval [4,4] is shown below. 4 4 | f ( x ) | dx = A)1B)2C)5D)8E)9 4 3 2 1 1 2 3 4 3 2 1 1 2 3 14.The acceleration of a particle moving along thex-axis at timet >0 is given bya(t) =1t2.Whent= 1 second, the particle is atx= 2 and has velocity1 unit per second. Ifx(t) is theparticle’s position, then the position whent=eseconds is 15.The area enclosed by the two curvesy=x24 andy=x4 is given by 1 0 ( x x 2 ) dx 1 0 ( x 2 x ) dx 2 0 ( x x 2 ) dx 2 0 ( x 2 x ) dx 4 0 ( x 2 x ) dx  134 The AP CALCULUS PROBLEM BOOK 1. The temperature on New Year’s Day in Bu ff alo, New York, is given by T ( h ) = A B cos π h 12 , where T is the temperature in degrees Fahrenheit and h is the number of hours from midnight (0 h 24).  #### You've reached the end of your free preview.

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