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Beliebt Rechnen >

integral of 2+4x+42x^2

Lösung

\int 2 + 4 x + 42 x^{2} d x

Lösung

2 x + 2 x^{2} + 14 x^{3} + C

Schritte zur Lösung

\int 2 + 4 x + 42 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 2 d x + \int 4 x d x + \int 42 x^{2} d x

\int 2 d x = 2 x

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

\int 42 x^{2} d x = 14 x^{3}

= 2 x + 2 x^{2} + 14 x^{3}

Füge eine Konstante zur Lösung hinzu

= 2 x + 2 x^{2} + 14 x^{3} + C

Graph

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