quiz 1
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Cal 2TRANSCRIPT
PRINTABLE VERSIONQuiz 1
You scored 100 out of 100Question 1
Your answer is CORRECT.
Calculate the indefinite integral: .
a)
b)
c)
d)
e)
Question 2
Your answer is CORRECT.
Calculate the indefinite integral: .
a)
b)
c)
d)
e)
Question 3
∫ dx6 − 5x3
x2
18 − + C12 − 10x3
x3
3 + + Cx2 5x
3 − 5x + Cx2
6x + + C5x
2 − 5x + Cx3
∫ (4 − + 2 ) dxx√1x√
ex
6 + 2 + 2 + Cx3/2 x√ ex
− 2 + 2 + C83
x3/2 x√ ex
+ 2 + 2 + C83
x3/2 x√ ex
6 − 2 + 2 + Cx3/2 x√ ex
+ + + C83
x3/2 x√12
ex
Your answer is CORRECT.
Find f givent that .
a)
b)
c)
d)
e)
Question 4
Your answer is CORRECT.
Calculate the indefinite integral: .
a)
b)
c)
d)
e)
Question 5
Your answer is CORRECT.
Calculate:
a)
b)
(x) = 6 cos(x) and f(0) = 3f ′
f(x) = −6 cos(x) + 3
f(x) = 6 cos(x) − 3
f(x) = 6 + sin(x)
f(x) = 6 sin(x) + 3
f(x) = 6 sin(x) + 6
∫ dx6+ 1x2
6 arcsin(x) + C
6 arctan(x) + C
− + C12 x
( + 1)x2 2
6 tan(x) + C
+ C( + 2)x2 x2
24
∫ dx4 x
( + 4)x2 2
− + C4+ 4x2
− + C1
6 ( + 4)x2 3
c)
d)
e)
Question 6
Your answer is CORRECT.
Calculate:
a)
b)
c)
d)
e)
Question 7
Your answer is CORRECT.
Calculate:
a)
b)
c)
d)
− + C2+ 4x2
− + C1+ 4x2
− + C1
( + 4)x2 2
∫ 6 dxx2 + 3x3− −−−−−√4
+ C8 ( + 3)x3 7/4
7
+ C8 ( + 3)x3 9/4
3
+ C8 ( + 3)x3 5/4
5
+ C24 ( + 3)x3 7/4
7
+ C24 ( + 3)x3 5/4
5
∫ dx10 x + 10
+ 2 x − 1x2− −−−−−−−−−√
2 + C+ 2 x − 1x2− −−−−−−−−−√
5 + C+ 2 x − 1x2− −−−−−−−−−√
−10 + C+ 2 x − 1x2− −−−−−−−−−√
10 + C+ 2 x − 1x2− −−−−−−−−−√
e)
Question 8
Your answer is CORRECT.
Calculate:
a)
b)
c)
d)
e)
Question 9
Your answer is CORRECT.
Calculate:
a)
b)
c)
d)
e)
Question 10
Your answer is CORRECT.
Calculate:
a)
−2 + C+ 2 x − 1x2− −−−−−−−−−√
10 x dx∫ a
0−a2 x2− −−−−−√
10 a2
10 a3
3
0
10 a3
10 a2
3
∫ cos(2 x + 2) dx
2 sin(2x + 2) + C
sin(2x + 2) + C12
−2 sin(2x + 2) + C
− sin(2x + 2) + C12
− sin(2x + 2) + C
∫ sec(6 x + 3) tan(6 x + 3) dx
sec(6x + 3) + C16
b)
c)
d)
e)
Question 11
Your answer is CORRECT.
Calculate:
a)
b)
c)
d)
e)
Question 12
Your answer is CORRECT.
Calculate:
a)
b)
c)
d)
tan(6x + 3) + C16
sec(6x + 3) tan(6x + 3) + C16
6 tan(6x + 3) + C
6 sec(6x + 3) + C
∫ (x) sin(x) dxcos6
(x) + C16
sin7
(x) + C17
cos7
− (x) + C17
cos7
− (x) + C16
cos7
(x) + C17
sin7
∫ dxx
5 + 2x2
ln 5 + 2 + C52
∣∣ x2 ∣∣
− + Cx
10 (5 + 2)x2 2
ln 5 + 2 + C110
∣∣ x2 ∣∣
ln 5 + 2 + C15
∣∣ x2 ∣∣
e)
Question 13
Your answer is CORRECT.
Calculate:
a)
b)
c)
d)
e)
− + Cx
(5 + 2)x2 2
∫ dxex
1 + 9 e2 x
3 arcsin(3 ) + Cex
arctan(3 ) + C13
ex
3 arctan(3 ) + Cex
arctan(3 ) + C16
ex
arcsin(3 ) + C13
ex