CALCULUS: APPLIED APPROACH LOW COST MA
10th Edition
ISBN: 9780357265161
Author: Larson
Publisher: CENGAGE L
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Chapter A4, Problem 55E
To determine
To calculate: The domain of the radical expression
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8. Evaluate arctan x dx
a) xartanx
2
2
In(1 + x²) + C b) xartanx + 1½-3ln(1 + x²) + C c) xartanx + In(1 + x²) + C d)
(arctanx)²
+ C
2
9) Evaluate Inx³ dx
3
a) +C b) ln x² + C c)¾½ (lnx)² d) 3x(lnx − 1) + C
-
x
10) Determine which integral is obtained when the substitution x =
So¹² √1 - x²dx
sine is made in the integral
πT
π
π
a) √ sin cos e de b) √ cos² de c) c
Ꮎ Ꮎ
cos² 0 de c)
cos e de d) for cos² e de
πT
11. Evaluate tan³xdx
1
a) b) c) [1 - In 2]
2
2
c) [1 − In2] d)½½[1+ In 2]
12. Evaluate ſ
√9-x2
-dx.
x2
a) C
9-x2
√9-x2
-
x2
b) C -
x
x
arcsin ½-½ c) C + √9 - x² + arcsin x d) C +
√9-x2
x2
13. Find the indefinite integral S
cos³30
√sin 30
dᎾ .
2√√sin 30 (5+sin²30)
√sin 30 (3+sin²30)
a) C+
√sin 30(5-sin²30)
b) C +
c) C +
5
5
5
10
d) C +
2√√sin 30 (3-sin²30)
2√√sin 30 (5-sin²30)
e) C +
5
15
14. Find the indefinite integral ( sin³ 4xcos 44xdx.
a) C+
(7-5cos24x)cos54x
b) C
(7-5cos24x)cos54x
(7-5cos24x)cos54x
-
140
c) C -
120
140
d) C+
(7-5cos24x)cos54x
e) C
(7-5cos24x)cos54x
4
4
15. Find the indefinite integral S
2x2
dx.
ex
-
a) C+ (x²+2x+2)ex b) C (x² + 2x + 2)e-*
d) C2(x²+2x+2)e¯* e) C + 2(x² + 2x + 2)e¯*
-
c) C2x(x²+2x+2)e¯*
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
Chapter A4 Solutions
CALCULUS: APPLIED APPROACH LOW COST MA
Ch. A4 - Prob. 1CPCh. A4 - Prob. 2CPCh. A4 - Prob. 3CPCh. A4 - Prob. 4CPCh. A4 - Prob. 1ECh. A4 - Prob. 2ECh. A4 - Prob. 3ECh. A4 - Prob. 4ECh. A4 - Prob. 5ECh. A4 - Prob. 6E
Ch. A4 - Prob. 7ECh. A4 - Prob. 8ECh. A4 - Prob. 9ECh. A4 - Prob. 10ECh. A4 - Prob. 11ECh. A4 - Prob. 12ECh. A4 - Prob. 13ECh. A4 - Prob. 14ECh. A4 - Prob. 15ECh. A4 - Prob. 16ECh. A4 - Factoring Polynomials In Exercises 9-18, write the...Ch. A4 - Prob. 18ECh. A4 - Prob. 19ECh. A4 - Prob. 20ECh. A4 - Prob. 21ECh. A4 - Prob. 22ECh. A4 - Prob. 23ECh. A4 - Prob. 24ECh. A4 - Prob. 25ECh. A4 - Prob. 26ECh. A4 - Prob. 27ECh. A4 - Prob. 28ECh. A4 - Prob. 29ECh. A4 - Prob. 30ECh. A4 - Prob. 31ECh. A4 - Prob. 32ECh. A4 - Prob. 33ECh. A4 - Prob. 34ECh. A4 - Prob. 35ECh. A4 - Prob. 36ECh. A4 - Prob. 37ECh. A4 - Prob. 38ECh. A4 - Prob. 39ECh. A4 - Prob. 40ECh. A4 - Prob. 41ECh. A4 - Prob. 42ECh. A4 - Prob. 43ECh. A4 - Prob. 44ECh. A4 - Prob. 45ECh. A4 - Prob. 46ECh. A4 - Prob. 47ECh. A4 - Prob. 48ECh. A4 - Prob. 49ECh. A4 - Prob. 50ECh. A4 - Prob. 51ECh. A4 - Prob. 52ECh. A4 - Prob. 53ECh. A4 - Prob. 54ECh. A4 - Prob. 55ECh. A4 - Prob. 56ECh. A4 - Prob. 57ECh. A4 - Prob. 58ECh. A4 - Prob. 59ECh. A4 - Prob. 60ECh. A4 - Prob. 61ECh. A4 - Prob. 62ECh. A4 - Prob. 63ECh. A4 - Prob. 64ECh. A4 - Prob. 65ECh. A4 - Prob. 66ECh. A4 - Prob. 67ECh. A4 - Prob. 68ECh. A4 - Prob. 69ECh. A4 - Prob. 70ECh. A4 - Prob. 71ECh. A4 - Prob. 72ECh. A4 - Prob. 73ECh. A4 - Prob. 74ECh. A4 - Prob. 75ECh. A4 - Prob. 76E
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