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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 5CR: CONCEPT CHECK Determine whether each of the following statements is true or false, and explain why....
icon
Related questions
Question
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 =
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
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage