Set Up an Integral for the Length of the Curve $$y = 7 \cot x , \frac { \pi } { 4 } \leq x \leq \frac { \pi } { 2 }$$

question 255

Multiple Choice

Set up an integral for the length of the curve.
- $$y = 7 \cot x , \frac { \pi } { 4 } \leq x \leq \frac { \pi } { 2 }$$

• A) \(\int _ { \pi / 4 } ^ { \pi / 2 } \sqrt { 1 + 49 \csc ^ { 4 } x } d x\)
• B) \(\int _ { \pi / 4 } ^ { \pi / 2 } \sqrt { 1 + 7 \csc ^ { 2 } x } d x\)
• C) \(\int _ { \pi / 4 } ^ { \pi / 2 } \sqrt { 1 - 49 \csc ^ { 2 } x } d x\)
• D) \(\int _ { \pi / 4 } ^ { \pi / 2 } \sqrt { 1 + 49 \csc ^ { 2 } x } d x\)

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