# Math Help - need help in residual theorm question

1. ## need 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.

2. 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

3. i need you help ....
don't know how to solve

4. 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 $\lim_{x\to\infty} \frac{x^2\ln(x)}{x^2+a^2} \to \infty$

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

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

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

7. 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

8. 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.