What does $\partial L$ in $\int _{\partial L}\:xy\:dx\:+\:z\:dy\:+\:\left(x+2y^3\right)dz\:$ mean?

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Let the solid L be given by,

$L=\left\{\left(x,y,z\right)\in R^3∣\:0\le \:z\le \:1-x^2-y^2,\:y\ge \:-x\right\}$

Observe that this solid is limited by the plane $z=0$, the plane $y=-x$ and the paraboloid $z=1-x^2-y^2$.

Let the $F(x,y,z)=(xy,z,x+2y^3)^T$

c) Let $ω$ be the differential form $ω=xy$ $dx$ $+$ $z$ $dy$ $+$ $(x+2y^3)$ $dz$

Calculate $\int _{\partial L}ω.\:$