AP CALCULUS AB
Scoring Guide
6.8 to 6,14 integrating
1.
If
, where
, then
(A) 0
(B)
(C) 2
(D)
(E)
2.
(A) ex + C
(B) 2ex + C
(C) ex + e + C
(D) ex+1 + ex + C
(E) ex + ex + C
3.
If the second derivative of f is given by
, which of the following could be f(x)?
(A)
(B)
(C)
(D)
(E)
4.
Using the substitution
is equal to which of the following?
(A)
(B)
(C)
(D)
(E)
AP Calculus AB
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Scoring Guide
6.8 to 6,14 integrating
5.
(A)
(B) 7
(C)
(D)
(E)
6.
(A)
(B) e2-e
(C)
(D) e2-2
(E)
7.
(A)
(B) e2-e
(C)
(D) e2-2
(E)
8.
∫ (x3 − 3x) dx =
(A) 3x2 - 3 + C
(B) 4x4 - 6x2 + C
(C) x4/3 − 3x2+C
(D) x4/4 − 3x + C
(E) x4/4 − 3x2/2 + C
9.
Page 2 of 9
AP Calculus AB
Scoring Guide
6.8 to 6,14 integrating
(A)
(B)
(C)
(D)
10.
(A)
(B)
(C)
(D)
(E)
11.
∫sec2xdx=
(A)
(B)
(C)
(D)
(E)
12.
Which of the following is an antiderivative of 3sec2x + 2?
(A) 3 tan x
(B) 3 tan x + 2x
(C) 3 sec x + 2x
(D) sec3x + 2x
(E) 6sec2x + tan x
13.
dx =
AP Calculus AB
Page 3 of 9
Scoring Guide
6.8 to 6,14 integrating
(A)
(B)
(C)
(D)
(E)
14.
(A)
(B)
(C)
(D)
15.
(A)
(B)
(C)
(D)
(E)
16.
(A)
(B)
(C)
(D)
17.
An antiderivative for
Page 4 of 9
AP Calculus AB
is
Scoring Guide
6.8 to 6,14 integrating
(A)
(B)
(C)
(D) arcsec(x-1)
(E) arctan(x-1)
18.
(A) arctan(ln 2)
(B) ln 2
(C) π/4
(D) π/2
19.
(A)
(B)
(C)
(D)
20.
(A)
(B)
(C)
(D)
21.
AP Calculus AB
Page 5 of 9
Scoring Guide
6.8 to 6,14 integrating
(A)
(B)
(C)
(D)
22.
dx =
(A) -2
(B) -2/3
(C) 0
(D) 2/3
(E) 2
23.
Which of the following is equivalent to
ⅆ
(A)
ⅆ
(B)
24.
ⅆ
(C)
ⅆ
(D)
ⅆ
Which of the following are equivalent to
ⅆ
I.
ⅆ
ⅆ
II.
ⅆ
III.
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ⅆ ?
AP Calculus AB
ⅆ ?
Scoring Guide
6.8 to 6,14 integrating
(A) I only
(B) II only
(C) III only
(D) II and III only
25.
ⅆ , where
(A)
ⅆ , where
(B)
ⅆ
(C)
ⅆ ?
ⅆ
ⅆ
(B)
ⅆ
(C)
ⅆ
(D)
ⅆ ?
Which of the following is equivalent to
ⅆ
(A)
ⅆ
ⅆ
(B)
ⅆ , where
(C)
ⅆ , where
(D)
28.
ⅆ
Which of the following is equivalent to
(A)
27.
ⅆ
ⅆ
(D)
26.
ⅆ ?
Which of the following is equivalent to
ⅆ
AP Calculus AB
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Scoring Guide
6.8 to 6,14 integrating
(A)
(B)
(C)
(D)
ⅆ
29.
(A)
(B)
(C)
(D)
30.
ⅆ
(A)
(B)
(C)
(D)
ⅆ
31.
(A)
(B)
(C)
(D)
32.
(A)
(B)
(C)
(D)
33.
The function
Page 8 of 9
is given by
AP Calculus AB
. On what intervals is the graph of
concave up?
Scoring Guide
6.8 to 6,14 integrating
(A)
and
(B)
(C)
only
(D)
only
AP Calculus AB
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