SOLUTION: Hi, I was wondering if someone could help me with this question. Evaluate the following indefinite integral using integration by parts: ln(x)/x^(3) dx Thanks, Judy

Algebra ->  Equations -> SOLUTION: Hi, I was wondering if someone could help me with this question. Evaluate the following indefinite integral using integration by parts: ln(x)/x^(3) dx Thanks, Judy      Log On


   

Question 226112: Hi, I was wondering if someone could help me with this question.
Evaluate the following indefinite integral using integration by parts:
ln(x)/x^(3) dx
Thanks, Judy
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I'm going to presume you want to evaluate:



Using integration by parts. First split the integrand into two parts, and . Select the parts so that when you differentiate you get something simpler and when you integrate you get something simpler. The split here should be because it differentiates to and because it integrates to

So:



therefore



and



therefore



Now use the Integration by Parts Formula:



Substituting:



, so:



Which still can be simplified somewhat, but I think you get the idea.


John