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Beliebt Rechnen >

integral of (4x^3-3x+5)

Lösung

\int (4 x^{3} - 3 x + 5) d x

Lösung

x^{4} - \frac{3 x ^{2}}{2} + 5 x + C

Schritte zur Lösung

\int 4 x^{3} - 3 x + 5 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 3 x d x + \int 5 d x

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

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

\int 5 d x = 5 x

= x^{4} - \frac{3 x ^{2}}{2} + 5 x

Füge eine Konstante zur Lösung hinzu

= x^{4} - \frac{3 x ^{2}}{2} + 5 x + C

Graph

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