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Beliebt Rechnen >

integral of 4x^3-2x^2

Lösung

\int 4 x^{3} - 2 x^{2} d x

Lösung

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

Schritte zur Lösung

\int 4 x^{3} - 2 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 4 x^{3} d x - \int 2 x^{2} d x

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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