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Beliebt Rechnen >

integral of (4x^2+9x)

Lösung

\int (4 x^{2} + 9 x) d x

Lösung

\frac{4 x ^{3}}{3} + \frac{9 x ^{2}}{2} + C

Schritte zur Lösung

\int 4 x^{2} + 9 x 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^{2} d x + \int 9 x d x

\int 4 x^{2} d x = \frac{4 x ^{3}}{3}

\int 9 x d x = \frac{9 x ^{2}}{2}

= \frac{4 x ^{3}}{3} + \frac{9 x ^{2}}{2}

Füge eine Konstante zur Lösung hinzu

= \frac{4 x ^{3}}{3} + \frac{9 x ^{2}}{2} + C

Graph

Beliebte Beispiele

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

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\int \frac{ln ^{8} ( z )}{z} d z

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