Solve the Problem $\left( 1 , \frac { 5 } { 6 } \right)$

Multiple Choice

Solve the problem.
-Find a curve through the point $\left( 1 , \frac { 5 } { 6 } \right)$ whose length integral, $1 \leq x \leq 2$ , is $\mathrm { L } = \int _ { 1 } ^ { 2 } \sqrt { 1 + 25 \mathrm { x } 10 } \mathrm { dx }$ .

A) $y = 5 x ^ { 6 }$
B) $y = \frac { 5 } { 6 } x ^ { 5 }$
C) $y = \frac { 5 } { 6 } x ^ { 6 }$
D) $y = 5 x ^ { 5 }$