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Beliebt Rechnen >

integral of (3x^2+4x)

Lösung

\int (3 x^{2} + 4 x) d x

Lösung

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

Schritte zur Lösung

\int 3 x^{2} + 4 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 3 x^{2} d x + \int 4 x d x

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

fläche y=sqrt(x-1),y=0,x=7

a re a y = x - 1, y = 0, x = 7

limit as x approaches infinity of e^x-1

x \to \infty lim (e^{x} - 1)

limit as x approaches-7 of (x^2-4)/(7-x)

x \to - 7 lim (\frac{x ^{2} - 4}{7 - x})

integral of 6xe^{-3x}

\int 6 x e^{- 3 x} d x

derivative 9/((9-x^6)^{3/2)}

d er i v a t i v e \frac{9}{( 9 - x ^{6} ) ^{\frac{3}{2}}}