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Beliebt Rechnen >

integral of (8x^3-3x^2+8)

Lösung

\int (8 x^{3} - 3 x^{2} + 8) d x

Lösung

2 x^{4} - x^{3} + 8 x + C

Schritte zur Lösung

\int 8 x^{3} - 3 x^{2} + 8 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 8 x^{3} d x - \int 3 x^{2} d x + \int 8 d x

\int 8 x^{3} d x = 2 x^{4}

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

\int 8 d x = 8 x

= 2 x^{4} - x^{3} + 8 x

Füge eine Konstante zur Lösung hinzu

= 2 x^{4} - x^{3} + 8 x + C

Graph

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