Sketch the curve described by the equation $\{(x, y) : 9x^2 + 16y^2 = 144\}$ and find the exact total area of the closed region enclosed by it using definite integration.
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The total area of any standard ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ can be calculated directly using the formula $\text{Area} = \pi a b$. For this problem, $\text{Area} = \pi \times 4 \times 3 = 12\pi$. Use this formula to check your answer instantly!