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Beliebt Rechnen >

integral of (3x^2+8)

Lösung

\int (3 x^{2} + 8) d x

Lösung

x^{3} + 8 x + C

Schritte zur Lösung

\int 3 x^{2} + 8 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 8 d x

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

\int 8 d x = 8 x

= x^{3} + 8 x

Füge eine Konstante zur Lösung hinzu

= x^{3} + 8 x + C

Graph

Beliebte Beispiele

y^{^{'}} = \frac{1 - 2 t}{y}

derivative of (x^2+10^6)

\frac{d}{d x} ((x^{2} + 10)^{6})

limit as x approaches 0 of (sin(6x^2))/(1-cos(3x))

x \to 0 lim (\frac{sin ( 6 x ^{2} )}{1 - cos ( 3 x )})

integral of (1+x^2)^{-2}

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

(x^{6})^{^{'}}