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\[\int\limits_{0}^{\infty} \frac{ \ln x }{ x² + a² }\]

a > 0

Huh

|dw:1350750759562:dw|

So it's -36

|dw:1350750883133:dw|

Hello???

|dw:1350751308660:dw|

|dw:1350751339539:dw|

Did you get it?

yeahh thank you so much!!

Do you know what is a residual.

|dw:1350751491113:dw|

|dw:1350751564402:dw|

because x=ai is an order one pole.

this way is so easy, but your teacher will get confuse.
Draw a contour and give my solution.

ok thank you!!

one question, i didn't understand this last part:

|dw:1350834795661:dw|

but you you did this:

|dw:1350834921089:dw| there is a 2 dividing see?