8. (a) Evaluate the line integral $\int_{\mathcal{L}}\left(e^{x^{2}}- \frac{y^{3}}{3} ight) d x+\left(\frac{x^{3}}{3}+5 y+1 ight) d y$ along the straight line $\mathcal{L}$ from $(0,-2)$ to $(0,2)$. (b) Calculate now the line integral $\int_{\gamma}\left(e^{x^{2}}- \frac{y^{3}}{3} ight) d x+\left(\frac{x^{3}}{3}+5 y+1 ight) d y$ where $\Gamma$ is the halv circle $x^{2}+y^{2}=4, x \leq 0$ from $(0,-2)$ to $(0,2)$, clockwise. (8p) CS.VS. 1739