Evaluate the line integral $\int_C \mathbf{h}(x, y, z) \cdot d\mathbf{r}$, where $\mathbf{h}(x, y, z) = (2xz + \sin y)\mathbf{i} + x \cos y \mathbf{j} + x^2 \mathbf{k}$,
and the curve $C$ parametrized by $\mathbf{r}(t) = \cos t \mathbf{i} + \sin t \mathbf{j} + t \mathbf{k}$, $t \in [0, 2\pi]$.