Find the Length of the Curve $r = 6 \theta , 0 \leq \theta \leq \pi$

question 189

Multiple Choice

Find the length of the curve.
-The spiral $r = 6 \theta , 0 \leq \theta \leq \pi$

• A) 36
• B) \(3 \left( \pi \sqrt { \pi ^ { 2 } + 1 } + \ln \left( \pi + \sqrt { \pi ^ { 2 } + 1 } \right) \right)\)
• C) \(6 \left( \sqrt { \pi ^ { 2 } + 1 } + \ln \left( \frac { 1 + \sqrt { \pi ^ { 2 } + 1 } } { \pi } \right) \right)\)
• D) \(16 \left( \left( \pi ^ { 2 } + 1 \right) ^ { 3 / 2 } - 4 \right)\)

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