Set Up an Integral for the Length of the Curve $$y = \int _ { 0 } ^ { x } \cot t d t , \frac { \pi } { 6 } \leq x \leq \frac { \pi } { 3 }$$

question 72

Multiple Choice

Set up an integral for the length of the curve.
- $$y = \int _ { 0 } ^ { x } \cot t d t , \frac { \pi } { 6 } \leq x \leq \frac { \pi } { 3 }$$

• A) \(\int _ { \pi / 6 } ^ { \pi / 3 } \csc x d x\)
• B) \(\int _ { \pi / 6 } ^ { \pi / 3 } \sqrt { 1 + \cot x } d x\)
• C) \(\int _ { \pi / 6 } ^ { \pi / 3 } \sqrt { 1 + \csc ^ { 4 } x } d x\)
• D) \(\int _ { \pi / 6 } ^ { \pi / 3 } \sqrt { \csc x } d x\)

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