# Find the exact length of the polar curve.

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Find the exact length of the polar curve.

r = e^6θ

0 ≤ θ ≤ 2π

https://brainmass.com/math/curves/exact-length-polar-curve-172635

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http://mathworld.wolfram.com/ArcLength.html

The arc length of the polar curve is given by

polar curve

Find the exact length of the polar curve.

r = e^6Î¸

0 â‰¤ Î¸ â‰¤ 2Ï€

Therefore,

The length of the polar curve is

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