A way to double integral

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Consider the following problem $$\int_{\sqrt{b^2-\frac{a^2}{2}}}^{\frac{a}{2}} \int_{\sqrt{b^2-\frac{a^2}{4}x^2}}^{\frac{a}{2}}\,\, \frac{b}{\sqrt{b^2-x^2-y^2}} dy\, dx$$ My first thought was that polar coordinate can be used but it does not work out. Any ideas. Thank you in advance.