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Beliebt Rechnen >

integral of (6x^3+3x^2)

Lösung

\int (6 x^{3} + 3 x^{2}) d x

Lösung

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

Schritte zur Lösung

\int 6 x^{3} + 3 x^{2} 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 6 x^{3} d x + \int 3 x^{2} d x

\int 6 x^{3} d x = \frac{3 x ^{4}}{2}

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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