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Beliebt Rechnen >

integral of 3x^2+6x-2

Lösung

\int 3 x^{2} + 6 x - 2 d x

Lösung

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

Schritte zur Lösung

\int 3 x^{2} + 6 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 3 x^{2} d x + \int 6 x d x - \int 2 d x

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

\int 6 x d x = 3 x^{2}

\int 2 d x = 2 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of e^{3/2}

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

integral of ln(-3x)

\int ln (- 3 x) d x

integral of (1-x)(7+x^2)

\int (1 - x) (7 + x^{2}) d x

integral of-x^3+9x

\int - x^{3} + 9 x d x

integral of 6x^2+2x

\int 6 x^{2} + 2 x d x