Cracking The Ap Calculus ab Exam 2018

(Marvins-Underground-K-12) #1

16.Find t^2 + 4t dt.


(A) 9 x^4   +   12x^2
(B) 6 x(9x^3 + 12x^2 )
(C) 6 x^2 (9x^4 + 12x^2 )
(D) 54 x^5 + 72x^3


  1. dx =


(A)−ln|cos  x|  +   C
(B)ln|sin x| + C
(C)ln|sec x + tax x| + C
(D)−ln|csc x + cot x| + C

18.The average value of the function f(x) = (x −1)^2 on the interval from x = 1 to x = 5 is


(A)

(B)

(C)

(D)

19.Find the volume of the region bounded by y = (x − 5)^3 , the x-axis, and the line x = 10 as it is
revolved around the line x = 2. Set up, but do not evaluate the integral.


(A) 2 π x   (x  −   5)^3 dx

(B) 2 π     (x  −   2)  (x  −   5)^3 dx

(C) 2 π x   (x  −   5)^3 dx

(D) 2 π     (x  −   2)  (x  −   5)^3 dx

20.∫ 3 x^2 (x^3 − 3)^7 dx =

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