4. Which substitution would you use to simplify the following integrand? S a) x = sin b) x = 2 tan 0 c) x = 2 sec 3√√3 3 x3 5. After making the substitution x = = tan 0, the definite integral 2 2 3 a) ៖ ស្លឺ sin s π - dᎾ 16 0 cos20 b) 2/4 10 cos 20 π sin30 6 - dᎾ c) Π 1 cos³0 3 · de 16 0 sin20 1 x²√x²+4 3 (4x²+9)2 π d) cos²8 16 0 sin³0 dx d) x = tan 0 dx simplifies to: de 6. In order to evaluate (tan 5xsec7xdx, which would be the most appropriate strategy? a) Separate a sec²x factor b) Separate a tan²x factor c) Separate a tan xsecx factor 7. Evaluate 3x x+4 - dx 1 a) 3x+41nx + 4 + C b) 31n|x + 4 + C c) 3 ln x + 4+ C d) 3x - 12 In|x + 4| + C x+4

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter1: The Six Trigonometric Functions
Section1.5: More On Identities
Problem 97PS
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Question
4. Which substitution would you use to simplify the following integrand? S
a) x = sin
b) x = 2 tan 0
c) x = 2 sec
3√√3
3
x3
5. After making the substitution x = =
tan 0, the definite integral
2
2
3
a) ៖ ស្លឺ sin s
π
- dᎾ
16 0 cos20
b) 2/4 10 cos 20
π
sin30
6
- dᎾ
c)
Π
1 cos³0
3
· de
16 0 sin20
1
x²√x²+4
3
(4x²+9)2
π
d) cos²8
16 0 sin³0
dx
d) x = tan 0
dx simplifies to:
de
6. In order to evaluate (tan 5xsec7xdx, which would be the most appropriate strategy?
a) Separate a sec²x factor b) Separate a tan²x factor c) Separate a tan xsecx factor
7. Evaluate
3x
x+4
- dx
1
a) 3x+41nx + 4 + C b) 31n|x + 4 + C c)
3 ln x + 4+ C d) 3x - 12 In|x + 4| + C
x+4
Transcribed Image Text:4. Which substitution would you use to simplify the following integrand? S a) x = sin b) x = 2 tan 0 c) x = 2 sec 3√√3 3 x3 5. After making the substitution x = = tan 0, the definite integral 2 2 3 a) ៖ ស្លឺ sin s π - dᎾ 16 0 cos20 b) 2/4 10 cos 20 π sin30 6 - dᎾ c) Π 1 cos³0 3 · de 16 0 sin20 1 x²√x²+4 3 (4x²+9)2 π d) cos²8 16 0 sin³0 dx d) x = tan 0 dx simplifies to: de 6. In order to evaluate (tan 5xsec7xdx, which would be the most appropriate strategy? a) Separate a sec²x factor b) Separate a tan²x factor c) Separate a tan xsecx factor 7. Evaluate 3x x+4 - dx 1 a) 3x+41nx + 4 + C b) 31n|x + 4 + C c) 3 ln x + 4+ C d) 3x - 12 In|x + 4| + C x+4
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