Set Up an Integral for the Length of the Curve $x = y ^ { 1 / 7 } , 0 \leq y \leq 2$

question 79

Multiple Choice

Set up an integral for the length of the curve.
- $x = y ^ { 1 / 7 } , 0 \leq y \leq 2$

• A) \(\int _ { 0 } ^ { 2 } \sqrt { \frac { 1 } { 49 y ^ { 12 / 7 } } } d y\)
• B) \(\int _ { 0 } ^ { 2 } \sqrt { \frac { 2 } { 49 y ^ { 12 / 7 } } } d y\)
• C) \(\int _ { 0 } ^ { 2 } \sqrt { \frac { 7 y ^ { 6 / 7 } + 1 } { 7 y ^ { 6 / 7 } } } d y\)
• D) \(\int _ { 0 } ^ { 2 } \sqrt { \frac { 49 \mathrm { y } ^ { 12 / 7 } + 1 } { 49 \mathrm { y } 12 / 7 } } d y\)

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