To evaluate the integral -dx by Integration by Parts, the convenient choice is (1+ x)" a. u= (1+x)", v'= In x b. u= (1+x)', v'= In x c. u= In (1+ x), v'= (1+ x) d. u= In (1+ x), v'= (1+x)' In (1+x) с. . v' = (1+x)* е. (1+ x)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 51PS
icon
Related questions
Topic Video
Question

Please view the images attached.

To evaluate the integral |-
(1+x)
u = (1+x)", v'= In x
b. u= (1+ x)", v' = In x
c. u= In (1+ x), v'= (1+x)"
d. u= In (1+ x), v' = (1+x)'
In (1+x), v= (1+x)*
-dx by Integration by Parts, the convenient choice is
а.
с.
е.
(1+ x)
Transcribed Image Text:To evaluate the integral |- (1+x) u = (1+x)", v'= In x b. u= (1+ x)", v' = In x c. u= In (1+ x), v'= (1+x)" d. u= In (1+ x), v' = (1+x)' In (1+x), v= (1+x)* -dx by Integration by Parts, the convenient choice is а. с. е. (1+ x)
For computing the integral [x'ln (1+ x) dx , the most efficient method is
a. Integration by Parts with u = In (1+x*) and v' = x'.
substitution of u=1+x followed by Integration by Parts.
twice Integration by Parts
b.
с.
d. Integration by Parts with u'= In (1+x) and v= x.
е.
None of the methods covered so far is efficient in computing this integral.
Transcribed Image Text:For computing the integral [x'ln (1+ x) dx , the most efficient method is a. Integration by Parts with u = In (1+x*) and v' = x'. substitution of u=1+x followed by Integration by Parts. twice Integration by Parts b. с. d. Integration by Parts with u'= In (1+x) and v= x. е. None of the methods covered so far is efficient in computing this integral.
Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Research Design Formulation
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 for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning