7. Find the integral with respect u when we use the substitution u=cos(x) to rationalize the integral shown below . sin'x cos2x-cosx-2 O S zdu и+1 2u? -и-3 S u?+1 -du 2u2 -u-3 (u+1)? du 2u2 -u-3 u²-1 du 2u2 -u-3 1-u? -du 2u? -и-3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 92E
Question
7. Find the integral with respect u when we
use the substitution u=cos(x) to
rationalize the integral shown below.
sin'x
cos2x-cosx-2
и+1
du
2u2-и-3
u²+1
du
2u2 -u-3
(u+1)?
du
2u? -u-3
u²-1
-du
2u2-и-3
1-u?
du
OJ zu -u-3
Transcribed Image Text:7. Find the integral with respect u when we use the substitution u=cos(x) to rationalize the integral shown below. sin'x cos2x-cosx-2 и+1 du 2u2-и-3 u²+1 du 2u2 -u-3 (u+1)? du 2u? -u-3 u²-1 -du 2u2-и-3 1-u? du OJ zu -u-3
6. Find the value of the constant C for
which the following integral is
convergent
x2+1
4r+1 )dr
3
4
O 2
5
Transcribed Image Text:6. Find the value of the constant C for which the following integral is convergent x2+1 4r+1 )dr 3 4 O 2 5
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Double Integration
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning