$\"\"$

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The parabola equation is $\"\"$ and the points are $\"\"$ and $\"\"$ .

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Length of the curve $\"\"$ on the interval $\"\"$ is $\"\"$ .

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Find the length of the curve $\"\"$ on the interval $\"\"$ .

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Consider $\"\"$ .

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Differentiate on each side with respect to $\"\"$ .

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$\"\"$

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Use the power rule property of derivative: $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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The formula for arc length is $\"\"$

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Substitute $\"\"$ in above formula.

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$\"\"$

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Use the property : $\"\"$ .

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$\"\"$

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$\"\"$

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The length of the arc is $\"\"$ units.

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$\"\"$

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The length of the arc is $\"\"$ units.