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) $\int _ { \pi / 6 } ^ { \pi / 3 } \sqrt { \csc x } d x$

Question

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The Answer of 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) $\int _ { \pi / 6 } ^ { \pi / 3 } \sqrt { \csc x } d x$

Set Up an Integral for the Length of the Curve y=∫0xcot⁡tdt,π6≤x≤π3y = \int _ { 0 } ^ { x } \cot t d t , \frac { \pi } { 6 } \leq x \leq \frac { \pi } { 3 }y=∫0x​cottdt,6π​≤x≤3π​

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