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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{x ^{4}}{2} + x^{2} - 3 x + C

Schritte zur Lösung

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

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

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

\int 3 d x = 3 x

= \frac{x ^{4}}{2} + x^{2} - 3 x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{4}}{2} + x^{2} - 3 x + C

Graph

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