    \textbf{2.} Spo�t�te ur�it� integr�l
    $$
        \int_{0}^{1} x(2-x)^{12} \dx.
    $$

    \textbf{�e�en�}
    \begin{multline*}
        \int_{0}^{1} x(2-x^2)^{12} \dx \subst
        \begin{bmatrix}
            2 - x^2 = t\\
            -2x \dx = \dnt
        \end{bmatrix} \subst
        \int_{2}^{1} -\frac{1}{2} t^{12} \dt =\\
        =\int_{1}^{2} \frac{1}{2} t^{12} \dt =
        \left[ \frac{t^{13}}{26} \right]_{1}^{2} =
        \frac{2^{13}}{26} - \frac{1}{26} = \frac{8191}{26}.
    \end{multline*}
