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Beliebt Rechnen >

integral of 3x^2-24x+36

Lösung

\int 3 x^{2} - 24 x + 36 d x

Lösung

x^{3} - 12 x^{2} + 36 x + C

Schritte zur Lösung

\int 3 x^{2} - 24 x + 36 d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 3 x^{2} d x - \int 24 x d x + \int 36 d x

\int 3 x^{2} d x = x^{3}

\int 24 x d x = 12 x^{2}

\int 36 d x = 36 x

= x^{3} - 12 x^{2} + 36 x

Füge eine Konstante zur Lösung hinzu

= x^{3} - 12 x^{2} + 36 x + C

Graph

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