Set Up an Integral for the Length of the Curve $$y = x ^ { 4 } , 0 \leq x \leq 1$$

Multiple Choice

Set up an integral for the length of the curve.
- $$y = x ^ { 4 } , 0 \leq x \leq 1$$

A) $\int _ { 0 } ^ { 1 } \sqrt { 1 + 4 x ^ { 3 } } d x$
B) $\int _ { 0 } ^ { 1 } \sqrt { 1 + 16 x ^ { 8 } } d x$
C) $\int _ { 0 } ^ { 1 } \sqrt { 1 + 4 x ^ { 6 } } d x$
D) $\int _ { 0 } ^ { 1 } \sqrt { 1 + 16 x ^ { 6 } } d x$