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Beliebt Rechnen >

integral of-2+18x-12x^2

Lösung

\int - 2 + 18 x - 12 x^{2} d x

Lösung

- 2 x + 9 x^{2} - 4 x^{3} + C

Schritte zur Lösung

\int - 2 + 18 x - 12 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 18 x d x - \int 12 x^{2} d x

\int 2 d x = 2 x

\int 18 x d x = 9 x^{2}

\int 12 x^{2} d x = 4 x^{3}

= - 2 x + 9 x^{2} - 4 x^{3}

Füge eine Konstante zur Lösung hinzu

= - 2 x + 9 x^{2} - 4 x^{3} + C

Graph

Beliebte Beispiele

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d er i v a t i v e f (x) = x^{3} - 5 x^{2}

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in v erse l a pl a ce \frac{- 1}{s}

integral of-cos(3x)

\int - cos (3 x) d x

integral of 3sin(2x)

\int 3 sin (2 x) d x

16(d^4y)/(dx^4)+48(d^2y)/(dx^2)+36y=0

16 \frac{d ^{4} y}{d x ^{4}} + 48 \frac{d ^{2} y}{d x ^{2}} + 36 y = 0