Find the Length of the Curve $r = 7 \sqrt { 1 + \sin 2 \theta } , 0 \leq \theta \leq \frac { \pi } { 4 }$

question 158

Multiple Choice

Find the length of the curve.
-The curve $r = 7 \sqrt { 1 + \sin 2 \theta } , 0 \leq \theta \leq \frac { \pi } { 4 }$

• A) \(2 \pi\)
• B) \(\frac { 7 } { 4 } \pi \sqrt { 2 }\)
• C) \(\frac { 49 } { 8 } ( \pi + 2 )\)
• D) \(7 ( \pi + \ln ( \pi + \sqrt { 2 } ) )\)

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