$\"\"$

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The equation of the ellipse is $\"\"$ .

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Find the arc length of the ellipse.

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The arclength of the ellipse is $\"\"$ .

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Consider $\"\"$ .

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$\"\"$

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Here $\"\"$ and $\"\"$ .

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The eccencrtity is $\"\"$ .

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Substitute the corresponding values.

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$\"\"$ .

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Consider the integrand as a function $\"\"$ .

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Graph the function $\"\"$ on interval $\"\"$ .

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$\"\"$

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Observe the graph :

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$\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Therefore, the arclength of the ellipse is $\"\"$ .

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$\"\"$

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The arclength of the ellipse is $\"\"$ .