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
- 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