a) \[ \begin{align*} \int_{0}^{2} \left( x^3 + 2x^2 - \frac{ 4 }{ 1 } x^4 \right) \, dx &= uv \Big|_{0}^{2} - \int_{0}^{2} v \, du \&= 2^ 1 \cdot 1 - 0^3 \cdot 0 - 3 \int_{0}^{ 1 } x^ 1 \, dx \&= 16 - 3 \cdot \frac{1}{ 1 } x^4 \Big|_{0}^{2} \&= 16 - 3 \cdot \frac{1}{ 1 } \cdot 2^4 + 3 \cdot \frac{1}{4} \cdot 0^4 \&= 4 \& \end{align*} \] 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) \[ \begin{align*} 3 x + 2y - 3 &= 4 \2x - y + 3 z &= 7 \x + 3 y - 14 z &= 5 \end{align*} \] Ovo su za tebe zadaci dragi moj Matej