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Find the area bounded by the ellipse \\[\\dfrac{{{x^2}}}{{{a^2}}} + \\dfrac{{{y^2}}}{{{b^2}}} = 1\\] and the ordinates $x = 0$and $x = ae$, where ${b^2} = {a^2}\\left( {1 - {e^2}} \\right)$ and $e 1$.
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