Consider the indefinite integral · U This can be transformed into a basic integral by letting du [(ln(2))³ Z and du dz: Jdz Performing the substitution yields the integral

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Consider the indefinite integral 

\[
\int \frac{(\ln(z))^3}{z} \, dz.
\]

This can be transformed into a basic integral by letting

\[ 
u = \_\_\_\_\_\_ 
\]

and

\[
du = \_\_\_\_\_\_ dz.
\]

Performing the substitution yields the integral

\[
\int \_\_\_\_\_\_ \, du.
\]
Transcribed Image Text:Consider the indefinite integral \[ \int \frac{(\ln(z))^3}{z} \, dz. \] This can be transformed into a basic integral by letting \[ u = \_\_\_\_\_\_ \] and \[ du = \_\_\_\_\_\_ dz. \] Performing the substitution yields the integral \[ \int \_\_\_\_\_\_ \, du. \]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,