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Beliebt Rechnen >

integral of (12x^3-4x-2)

Lösung

\int (12 x^{3} - 4 x - 2) d x

Lösung

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

Schritte zur Lösung

\int 12 x^{3} - 4 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 12 x^{3} d x - \int 4 x d x - \int 2 d x

\int 12 x^{3} d x = 3 x^{4}

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

\int 2 d x = 2 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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\int (\frac{x}{2})^{4} d x

y^{^{'}} = \frac{y}{x}