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+1 vote
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in Definite Integrals by (58.3k points)

Find the area of the smaller region bounded by the ellipse \(\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\) and the line \(\frac{x}{a} + \frac{y}{b} = 1\)

1 Answer

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Best answer

Required area (shaded area) = Area under ellipse from x = 0 to x = 3) - (Area under line from x = 0 to x = 3)

OR 

Required area (Shaded) = Area of ellipse in 1st quadrant – Area of Δ ABC

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