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Beliebt Rechnen >

integral of 10x^9-12x^3-5

Lösung

\int 10 x^{9} - 12 x^{3} - 5 d x

Lösung

x^{10} - 3 x^{4} - 5 x + C

Schritte zur Lösung

\int 10 x^{9} - 12 x^{3} - 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 10 x^{9} d x - \int 12 x^{3} d x - \int 5 d x

\int 10 x^{9} d x = x^{10}

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

\int 5 d x = 5 x

= x^{10} - 3 x^{4} - 5 x

Füge eine Konstante zur Lösung hinzu

= x^{10} - 3 x^{4} - 5 x + C

Graph

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