anonymous
  • anonymous
Solve the following improper improper integral:
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
\[\int\limits_{0}^{\infty} \frac{ \ln x }{ x² + a² }\]
anonymous
  • anonymous
a > 0
anonymous
  • anonymous
Huh

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anonymous
  • anonymous
|dw:1350750759562:dw|
anonymous
  • anonymous
So it's -36
anonymous
  • anonymous
|dw:1350750883133:dw|
anonymous
  • anonymous
Hello???
anonymous
  • anonymous
|dw:1350751308660:dw|
anonymous
  • anonymous
|dw:1350751339539:dw|
anonymous
  • anonymous
Did you get it?
anonymous
  • anonymous
yeahh thank you so much!!
anonymous
  • anonymous
Do you know what is a residual.
anonymous
  • anonymous
|dw:1350751491113:dw|
anonymous
  • anonymous
|dw:1350751564402:dw|
anonymous
  • anonymous
because x=ai is an order one pole.
anonymous
  • anonymous
this way is so easy, but your teacher will get confuse. Draw a contour and give my solution.
anonymous
  • anonymous
ok thank you!!
anonymous
  • anonymous
one question, i didn't understand this last part:
anonymous
  • anonymous
|dw:1350834795661:dw|
anonymous
  • anonymous
but you you did this:
anonymous
  • anonymous
|dw:1350834921089:dw| there is a 2 dividing see?

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