need help in residual theorm question

**nasir6992** · November 11th 2009, 03:52 AM

I need help in solving following Math questions.
Can any one help me in this matter.
Questions are attached as Image file.

**tonio** · November 11th 2009, 04:07 AM

Originally Posted by nasir6992

I need help in solving following Math questions.
Can any one help me in this matter.
Questions are attached as Image file.

Show us what have you done to solve these problems, where are you stuck, etc.

Tonio

**nasir6992** · November 11th 2009, 04:12 AM

i need you help ....

don't know how to solve

**simplependulum** · November 11th 2009, 04:44 AM

Are you sure those problems are fine at all ?

I am comfused of one of you problems

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

I think this integral diverges because $\lim_{x\to\infty} \frac{x^2\ln(x)}{x^2+a^2} \to \infty$

**nasir6992** · November 11th 2009, 05:01 AM

yes the problems are fine
i need the solution, if u can help

**shawsend** · November 11th 2009, 05:20 AM

It's an interesting residue problem if it's:

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

**tonio** · November 11th 2009, 05:30 AM

Originally Posted by nasir6992

i need you help ....

don't know how to solve

That's not good enough for me. Your questions look like homework and I won't do it for you. You must have done SOMETHING to solve these problems, and if you haven't then you better begin working.

Tonio

**nasir6992** · November 11th 2009, 05:44 AM

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.

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