Set Up an Integral for the Length of the Curve $$\mathrm { y } ^ { 6 } + 6 y = 6 \mathrm { x } - 1,1 \leq \mathrm { y } \leq 2$$

question 202

Multiple Choice

Set up an integral for the length of the curve.
- $$\mathrm { y } ^ { 6 } + 6 y = 6 \mathrm { x } - 1,1 \leq \mathrm { y } \leq 2$$

• A) \(\int _ { 1 } ^ { 2 } \sqrt { y ^ { 10 } + y ^ { 5 } + 1 } d y\)
• B) \(\int _ { 1 } ^ { 2 } \sqrt { y ^ { 10 } + 2 y ^ { 5 } + 2 } d y\)
• C) \(\int _ { 1 } ^ { 2 } \sqrt { y ^ { 10 } + 2 } d y\)
• D) \(\int _ { 1 } ^ { 2 } \sqrt { \mathrm { y } ^ { 5 } + 2 } d y\)

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