Suppose $\vec{F}(x,y) = (x + 5) \vec{i} + (3 y + 2) \vec{j}$. Use the fundamental theorem of line integrals to calculate the following.

(a) The line integral of $\vec{F}$ along the line segment $C$ from the point $P = (1,0)$ to the point $Q = (3,2)$.
$\displaystyle \int_C \vec{F} \cdot d\vec{r}$ =

(b) The line integral of $\vec{F}$ along the triangle $C$ from the origin to the point $P = (1,0)$ to the point $Q = (3,2)$ and back to the origin.
$\displaystyle \int_C \vec{F} \cdot d\vec{r}$ =