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Consider the integral [(In 2)" dar. To use integration by parts, we might let u= Olnz dz (In z)" and du In z (In z)" 1 dz

Consider the integral [(In 2)" dar. To use integration by parts, we might let u= Olnz dz (In z)" and du In z (In z)" 1 dz

Calculus: Early Transcendentals
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...
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**Question 12** Consider the integral \(\int ( \ln x )^n dx\). To use integration by parts, we might let \( u = \) - ○ \(\ln x\) - ○ \( dx \) - ○ \( (\ln x)^n \) - ○ 1 and \( dv = \) - ○ \(\ln x\) - ○ \( (\ln x)^n \) - ○ 1 - ○ \( dx \)
Transcribed Image Text:**Question 12** Consider the integral \(\int ( \ln x )^n dx\). To use integration by parts, we might let \( u = \) - ○ \(\ln x\) - ○ \( dx \) - ○ \( (\ln x)^n \) - ○ 1 and \( dv = \) - ○ \(\ln x\) - ○ \( (\ln x)^n \) - ○ 1 - ○ \( dx \)
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Consider the integral 

∫lnxndx

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