stud
bud
Sign up
Log in
Home
Library
Explore
SAT
More
AP Calculus Review Flashcards | StudBud
Explore
/
AP Calculus Review
AP Calculus Review
17 terms
·
StudBud Administration
·
37 plays
A general review for AP Calculus AB covering various topics.
Flashcards
17 cards
F
Practice quiz
P
Host live
L
Questions
17
Answers
1
Find the limit as x approaches -∞ of e
x
+ 1
-∞
1
∞
0
2
Find the limit as x approaches 4 of (x
2
- 16) / (x - 4)
∞
0
8
DNE
3
∫(1 / (16 + x
2
)) dx =
(1/4)sin-1(x/4) + C
(1/4)tan-1(x/4) + C
(1/4)arctan(x/4) + C
(1/4)arcsin(x/4) + C
4
Find the derivative of 2
x
x22x
2(ln2)(2x)
(2x)ln(2)
x2x
5
∫ e
6x
dx =
(1/6)e6x + C
6e6x + C
e6x + C
6e6x
6
integral from 0 to 1 of (x
3
) / (x
4
+ 1) dx =
ln(2)
(1/4)ln2
(1/4)ln(2) + C
ln(12)
7
Evaluate ∫( 1 / (3-x)) dx
ln(3-x) + C
-ln(3-x) + C
-ln(1 / (3-x)) + C
-ln(3-x)
8
Equation of the line tangent to the graph of y = (2x+1) / (5x -4) at the point (1, 3) is
y - 3 = (-13)(x-1)
y = -13x + 10
y = (-13x) + 2
13x - 9y = 12
9
Solve dy/dx = 2x/y for y
√(2x2 + C)
2x2 + C
√(2x2)
4x2
10
Find the derivative of sin
-1
(5x)
5sin-2(5x)
cos(5x)
5 / √(1 - 25x2)
5 / √(1 + 25x2)
11
Find the derivative of ∫ t
3
dt when the bounds are [-2, e
x
]
e4x
e3x
e2x
ex
12
limit as x approaches infinity of (3x
2
- 1) / (x
2
+ 30x)
3
∞
-∞
0
13
∫( 5 / (1 + x
2
)) dx =
5tan-1(x) + C
5x - 5/x + C
5arctan(x) + C
5arctan(x)
14
∫ (x + sin(x)) dx on the interval [0, π] =
π2 + 2
0
(1/2)π2
(1/2)π2 + 2
15
Evaluate ∫ x
2
dx on the interval [0, 2]
3/8
8/3
2
6
16
Find the area between the curves x = 4 - y
2
and x = y - 2
17
12
20
20.833
17
Find the position at t = 5 given s(0) = 4 and v(t) = 2t
4
19
9
29
