Convergence of improper double integral

Calculus Level 5

Inital conditions of the problem:

Let be \[ D := \{ (x,y)\in \mathbb{R}^2 : x^2 + y^2 < 1 \} \]

Consider the improper integral parametrized by \(a\):

\[ I_a := \iint_{D} \frac{dxdy}{(\sqrt{1-x^2-y^2})^{5a}} \]

What you've to answer:

For what real values of \(a\) does \( I_a \) converge?

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