Integration by parts, how to find int 1/(x (ln 3)^2) dx

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Homework Help Overview

The discussion revolves around the integration of the function 1/(x (ln x)^3) with a focus on the method of integration by parts. Participants are exploring the setup of the integral and the appropriate choices for u and dv.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the initial setup of the integral and the selection of u and dv, with one participant suggesting u = ln(x) and another correcting the notation from dx to du.

Discussion Status

The discussion is ongoing, with participants clarifying the integral's expression and the differentiation of u. There is a recognition of the need to properly express the integral in terms of du.

Contextual Notes

There was initial confusion regarding the expression of the integral, with a misinterpretation of the logarithmic term. Participants are working within the constraints of the problem as stated, focusing on integration techniques.

intenzxboi
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Homework Statement



int dx / (x (ln 3)^3)

can someone tell me how to start this problem what's my u and dv ??
 
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You've got to mean dx/(x*ln(x)^3). Just do u=ln(x). That's all.
 


opps actually problem is int dx / (x (ln x)^3)

so u = ln x
du= 1/x dx

int 1/ u^3 dx
 


1/u^3 du. Not dx.
 


right.. thanks
 

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