Improper integral convergence: int [ (x^a)(sin(sqrt(x))/(pi^2 - x)^a], from 0 to pi^2

[Berationalgetreal]

Hi, how would you study the convergence of the following improper integral?

int [ (x^a)(sin(sqrt(x))/(pi^2 - x)^a], between 0 and pi^2.

I tried to get the integral but it's impossible. Then, maybe I should use some criteria for the convergence. However, I do not find an appropriate one. Can you help me, please?

 

[pka]

int [ (x^a)(sin(sqrt(x))/(pi^2 - x)^a], between 0 and pi^2.

Would you agree that $\displaystyle \displaystyle\int_0^{{\pi ^2}} {\frac{{{x^a}\sin \left( {\sqrt x } \right)}}{{{{\left( {{\pi ^2} - x} \right)}^a}}}dx}$ is easier to read than what you posted?

You can learn to post in LaTeX.

In any case there is no elementary solution to this question.