Set up, but do not evaluate, an integral that represents the length of the parametric curve. $$x = t - t ^ { 10 } , y = \frac { 10 } { 9 } t ^ { 9 / 8 } , \quad 8 \leq \mathrm { t } \leq 18$$

Name: Set up, but do not evaluate, an integral that represents the length of the parametric curve. \[x = t - t ^ { 10 } , y = \frac { 10 } { 9 } t ^ { 9 / 8 } , \quad 8 \leq \mathrm { t } \leq 18\]
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\int _ { 8 } ^ { 18 } \sqrt { \left( 1 - 10 t ^ { 9 } \right) ^ { 2 } + \left( \frac { 10 } { 8 } \right) ^ { 2 } t ^ { 2 / 8 } } d t

Set Up, but Do Not Evaluate, an Integral That Represents x=t−t10,y=109t9/8,8≤t≤18x = t - t ^ { 10 } , y = \frac { 10 } { 9 } t ^ { 9 / 8 } , \quad 8 \leq \mathrm { t } \leq 18x=t−t10,y=910​t9/8,8≤t≤18

Set Up, but Do Not Evaluate, an Integral That Represents $x = t - t ^ { 10 } , y = \frac { 10 } { 9 } t ^ { 9 / 8 } , \quad 8 \leq \mathrm { t } \leq 18$