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Beliebt Rechnen >

integral of 6x^2-4x+2

Lösung

\int 6 x^{2} - 4 x + 2 d x

Lösung

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

Schritte zur Lösung

\int 6 x^{2} - 4 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 6 x^{2} d x - \int 4 x d x + \int 2 d x

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

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

\int 2 d x = 2 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

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

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

integral of (x^2+x+1)/((2x+1)(x^2+1))

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

integral of 1/(x^{3/4)-x^{1/4}}

\int \frac{1}{x ^{\frac{3}{4}} - x ^{\frac{1}{4}}} d x

integral of (18x^5-12x^3+4x)

\int (18 x^{5} - 12 x^{3} + 4 x) d x

integral of 7/(w^2+3w+3)

\int \frac{7}{w ^{2} + 3 w + 3} d w