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Beliebt Rechnen >

integral of (2x^3-5x+9)

Lösung

\int (2 x^{3} - 5 x + 9) d x

Lösung

\frac{x ^{4}}{2} - \frac{5 x ^{2}}{2} + 9 x + C

Schritte zur Lösung

\int 2 x^{3} - 5 x + 9 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 2 x^{3} d x - \int 5 x d x + \int 9 d x

\int 2 x^{3} d x = \frac{x ^{4}}{2}

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 9 d x = 9 x

= \frac{x ^{4}}{2} - \frac{5 x ^{2}}{2} + 9 x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{4}}{2} - \frac{5 x ^{2}}{2} + 9 x + C

Graph

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