(7). Find the integral value for \( \iint_{R} x^{2} + y^{2} dA \) for R: \( \frac{x^{2}}{4} + \frac{y^{2}}{9} < 1 \). (8%)
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(7). Find the integral value for \( \iint_{R} x^{2} + y^{2} dA \) for R: \( \frac{x^{2}}{4} + \frac{y^{2}}{9} < 1 \). (8%)