Set Up an Integral for the Length of the Curve $$\mathrm { x } = 8 \tan \mathrm { y } , 0 \leq \mathrm { y } \leq \frac { \pi } { 4 }$$

question 213

Multiple Choice

Set up an integral for the length of the curve.
- $$\mathrm { x } = 8 \tan \mathrm { y } , 0 \leq \mathrm { y } \leq \frac { \pi } { 4 }$$

• A) \(\int _ { 0 } ^ { \pi / 4 } \sqrt { 1 + 64 \sec ^ { 4 } y } d y\)
• B) \(\int _ { 0 } ^ { \pi / 4 } \sqrt { 1 - 64 \sec ^ { 2 } y } d y\)
• C) \(\int _ { 0 } ^ { \pi / 4 } \sqrt { 1 + 64 \sec ^ { 2 } y } d y\)
• D) \(\int _ { 0 } ^ { \pi / 4 } \sqrt { 1 + 8 \sec ^ { 4 } y } d y\)

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