Use the Fundamental Theorem of Line Integrals to calculate $\int_C\vec F\cdot d\vec r$ exactly, if $\vec F = 2 x^{2/5}\,\vec i + e^{y/3}\,\vec j$, and $C$ is the quarter of the unit circle in the first quadrant, traced counterclockwise from $(1,0)$ to $(0,1)$.
$\int_C\vec F\cdot d\vec r =$