Exercise 1. Evaluate $\int_C \mathbf{F} \cdot d\mathbf{r}$, where $\mathbf{F}(x, y, z) = 2xy^2 \mathbf{i} + 3x^2 y^2 \mathbf{j} + e^z \cos z \mathbf{k}$ and $C$ is the line starting at $(0, 0, 0)$ and ending at $(1, 1, \pi)$.\newline Exercise 2. Evaluate the line integral $\int_C 2xyzdx + x^2zdy + x^2ydz$, where $C$ is any oriented simple curve connecting $(1, 1, 1)$ to $(1, 2, 4)$.\newline Hint: Use the fundamental theorem of line integrals.