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Beliebt Rechnen >

integral of (1+6x^2-10x^4)

Lösung

\int (1 + 6 x^{2} - 10 x^{4}) d x

Lösung

x + 2 x^{3} - 2 x^{5} + C

Schritte zur Lösung

\int 1 + 6 x^{2} - 10 x^{4} 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 1 d x + \int 6 x^{2} d x - \int 10 x^{4} d x

\int 1 d x = x

\int 6 x^{2} d x = 2 x^{3}

\int 10 x^{4} d x = 2 x^{5}

= x + 2 x^{3} - 2 x^{5}

Füge eine Konstante zur Lösung hinzu

= x + 2 x^{3} - 2 x^{5} + C

Graph

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