The Exact Length of the Parametric Curve $x = e ^ { t } \cos t , y = e ^ { t } \sin t , 0 \leq t \leq \frac { \pi } { 7 }$

True/False

The exact length of the parametric curve $x = e ^ { t } \cos t , y = e ^ { t } \sin t , 0 \leq t \leq \frac { \pi } { 7 }$ is $\sqrt { 2 } e ^ { \pi / 7 }$ .