(4). (8%) Find the definite integral \( \iint_{R} \ln(x^2 + y^2) \, \mathrm{d}A \), \( R = \{(x, y) | 0 \leq x^2 + y^2 \leq 9, x \geq 0, y \geq 0\} \).
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(4). (8%) Find the definite integral \( \iint_{R} \ln(x^2 + y^2) \, \mathrm{d}A \), \( R = \{(x, y) | 0 \leq x^2 + y^2 \leq 9, x \geq 0, y \geq 0\} \).