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Beliebt Rechnen >

integral 4x^3+3x^2+2

Lösung

integral

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

Lösung

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

Schritte zur Lösung

\int 4 x^{3} + 3 x^{2} + 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 4 x^{3} d x + \int 3 x^{2} d x + \int 2 d x

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

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

\int 2 d x = 2 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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