For each of the indefinite integrals below, the main question is to decide whether the integral can be evaluated using u-substitution, integration by parts, a combination of the two, or neither. For integrals for which your answer is affirmative (u-sub, by parts, combo), state the substitution you would use. It is not necessary to actually evaluate any of the integrals completely, unless the integral can be evaluated immediately using a famil TABLE A 2³sin(2³) de [2²sin(x) da sin(2¹) dz zsin(2¹) de Method u-Sub By Parts Combo Neither V W= 4. 1. du = 1. In TABLE B, assume you know the antiderivative of tan (2). Further, answer the questions without doing any simple algebraic manipulations. TABLE B dz ? Method u
For each of the indefinite integrals below, the main question is to decide whether the integral can be evaluated using u-substitution, integration by parts, a combination of the two, or neither. For integrals for which your answer is affirmative (u-sub, by parts, combo), state the substitution you would use. It is not necessary to actually evaluate any of the integrals completely, unless the integral can be evaluated immediately using a famil TABLE A 2³sin(2³) de [2²sin(x) da sin(2¹) dz zsin(2¹) de Method u-Sub By Parts Combo Neither V W= 4. 1. du = 1. In TABLE B, assume you know the antiderivative of tan (2). Further, answer the questions without doing any simple algebraic manipulations. TABLE B dz ? Method u
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
Transcribed Image Text:For each of the indefinite integrals below, the main question is to decide whether the integral can be evaluated using u-substitution, integration by parts, a combination of the two, or neither.
For integrals for which your answer is affirmative (u-sub, by parts, combo), state the substitution you would use. It is not necessary to actually evaluate any of the integrals completely, unless the integral can be evaluated immediately using a familiar basic antiderivative.
TABLE A
[2² sin (2³) de
[ 2² sin(2) dr
[sin(2³) da
[ 2³ sin(2³) de
Method
?
u-Sub
By Parts
Combo
Neither
U=
du =
In TABLE B, assume you know the antiderivative of tan-¹(r). Further, answer the questions without doing any simple algebraic manipulations.
TABLE B
₁2 de
1₁
2x+3
1 + x2
TABLE C
[₁+ (²²
In(x)
[xln(x) dx
de
fin(1+a
[2ln(1
da
dx
TABLE D
+x²) dx
√1-
de
[2√1-² dr
而
2
?
?
L"
da
xv1-
?
r In(1+x²) da?
?
?
?
dx ?
da ?
?
Method
Method
V
Method
u=
u=
4
4
A
4
A
du =
dv=
du =
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning