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Beliebt Rechnen >

integral of (3x^2-2x+1)

Lösung

\int (3 x^{2} - 2 x + 1) d x

Lösung

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

Schritte zur Lösung

\int 3 x^{2} - 2 x + 1 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 3 x^{2} d x - \int 2 x d x + \int 1 d x

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

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

\int 1 d x = x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of (sqrt(x^2-1))/x

\int \frac{x ^{2} - 1}{x} d x

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x \to 0 lim (sin (\frac{k x}{x}))

integral of x/(2x^2+5x+2)

\int \frac{x}{2 x ^{2} + 5 x + 2} d x

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x \to \infty lim (- 28 x^{4})

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im pl i c i t \frac{d y}{d x}, x y^{2} = 4