a) \[ \begin{align*} \int_{0}^{2} \left( x^3 + 2x^2 - \frac{ 5 }{ -3 } x^4 \right) \, dx &= uv \Big|_{0}^{2} - \int_{0}^{2} v \, du \\ &= 2^ -3 \cdot -3 - 0^3 \cdot 0 - 3 \int_{0}^{ -3 } x^ -3 \, dx \\ &= 16 - 3 \cdot \frac{1}{ -3 } x^4 \Big|_{0}^{2} \\ &= 16 - 3 \cdot \frac{1}{ -3 } \cdot 2^4 + 3 \cdot \frac{1}{4} \cdot 0^4 \\ &= 4 \\ & \end{align*} \] b) \[ \oint_{C} \left( P \, dx + Q \, dy \right) = \iint_{D} \left( \frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y} \right) \, dA \] c) \[ \begin{align*} 2 x + 2y - 2 &= 4 \\ 2x - y + 2 z &= 7 \\ x + 2 y - 1 z &= 5 \end{align*} \] Ovo su za tebe zadaci dragi moj Henry