Problem 0.4. Give an orientation and orientation preserving parametrization to the following \text { curve } C \text { and calculate the curve integral } \int_{C}\left(x^{2}+y^{2}\right) d x+x d y \text { : } \text { (i) } C=\left\{(x, y) \in \mathbb{R}^{2} \mid x^{2}+y^{2}=1, y \geq 0\right\} \text {. } \text { (iii) } C=\left\{(x, y) \in \mathbb{R}^{2} \mid-1 \leq x \leq 1, y=0\right\} \text {. }