I need help in solving following Math questions.

Can any one help me in this matter.

Questions are attached as Image file.

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- Nov 11th 2009, 03:52 AMnasir6992need help in residual theorm question
I need help in solving following Math questions.

Can any one help me in this matter.

Questions are attached as Image file. - Nov 11th 2009, 04:07 AMtonio
- Nov 11th 2009, 04:12 AMnasir6992
i need you help ....:)

don't know how to solve - Nov 11th 2009, 04:44 AMsimplependulum
Are you sure those problems are fine at all ?

I am comfused of one of you problems

$\displaystyle \int_0^{\infty} \frac{x^2\ln(x)~dx}{x^2 + a^2} $

I think this integral**diverges**because $\displaystyle \lim_{x\to\infty} \frac{x^2\ln(x)}{x^2+a^2} \to \infty $ - Nov 11th 2009, 05:01 AMnasir6992
yes the problems are fine

i need the solution, if u can help - Nov 11th 2009, 05:20 AMshawsend
It's an interesting residue problem if it's:

$\displaystyle \int_0^{\infty}\frac{x^2\ln(x)}{(x^2+a^2)^2} dx$ - Nov 11th 2009, 05:30 AMtonio
- Nov 11th 2009, 05:44 AMnasir6992
Thats so kind of you. Can you please guide me or give me any reference to read, to start these problems. That will also be a great help.