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Find the area bounded by the ellipse ...

Find the area bounded by the ellipse `(x^2 )/( a^2) +(y^2)/(b^2) =1` and the cordinates ` x=0` and ` x = ae`, where ` b^2 = a^2 ( 1- e^2) and e lt 1 `.

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The correct Answer is:
`ab [ e sqrt(1-e^2) + sin ^(-1) e]`
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