Find the area of a plate shaped like a quadrant of the ellipse

2.B] Find the area of a plate shaped like a quadrant of the ellipse \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 using double integration.

Answer:

Find the area of a plate shaped like a quadrant of the ellipse <span class="wp-katex-eq" data-display="false"> \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 </span> using double integration.

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