Let $\vec F = 3\!\left(x+y\right)\,\vec i + 5\sin\!\left(y\right)\,\vec j$. Find the line integral of $\vec F$ around the perimeter of the rectangle with corners $(5, 0)$, $(5, 5)$, $(-1, 5)$, $(-1, 0)$, traversed in that order.

line integral =