Finding Whether Improper Integrals Converge

  • Thread starter rocapp
  • Start date
  • #1
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Hi all,

I'm having trouble with finding an improper integral.

The problem is ∫10(xln(x))dx

My book says the answer is -1/4, but I do not understand how this is the case.

lim(xlnx) as x approaches 1- = 0

lim(xlnx) as x approaches 0+ = ∞

So how does this value converge at -1/4?

Thanks in advance!
 

Answers and Replies

  • #2
pwsnafu
Science Advisor
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lim(xlnx) as x approaches 0+ = ∞
What makes you say that? Did you try Lhopital?
 
  • #3
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Ah. I see that. So now I just find the integral and from zero to one, correct?
 

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