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Calculus II (Practice Problems) / Parametric Equations and Polar Coordinates / Arc Length with Polar Coordinates   [Notes] [Practice Problems] [Assignment Problems]

Calculus II - Practice Problems
Applications of Integrals Previous Chapter   Next Chapter Series & Sequences
Area with Polar Coordinates Previous Section   Next Section Surface Area with Polar Coordinates

1. Determine the length of the following polar curve.  You may assume that the curve traces out exactly once for the given range of .

 

,  

[Solution]

 

For problems 2 and 3 set up, but do not evaluate, an integral that gives the length of the given polar curve.  For these problems you may assume that the curve traces out exactly once for the given range of .

 

2. ,   [Solution]

 

3. ,   [Solution]

 

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Area with Polar Coordinates Previous Section   Next Section Surface Area with Polar Coordinates
Applications of Integrals Previous Chapter   Next Chapter Series & Sequences

Calculus II (Practice Problems) / Parametric Equations and Polar Coordinates / Arc Length with Polar Coordinates    [Notes] [Practice Problems] [Assignment Problems]

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