aufgabe 2a

\int x^{2} sin x d x = \dots

f (x) = x^{2} f^{'} (x) = 2 x g (x) = - cos x g^{'} (x) = sin x

\dots = x^{2} \cdot (- cos x) - \int 2 x \cdot (- cos x) = \dots

f (x) = 2 x f^{'} (x) = 2 g (x) = - sin x g^{'} (x) = - cos x

\dots = x^{2} \cdot (- cos x) - (2 x \cdot (- sin x) - \int 2 \cdot (- sin x) d x) = - x^{2} \cdot cos x + 2 x \cdot sin x - 2 \int sin x d x = \underline{- x^{2} \cdot cos x + 2 x \cdot sin x + 2 cos x + c}

🪴 Quartz 4.0