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