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Beliebt Rechnen >

integral of (x+4)^2

Lösung

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

Lösung

\frac{x ^{3}}{3} + 4 x^{2} + 16 x + C

Schritte zur Lösung

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

Multipliziere aus

(x + 4)^{2} : x^{2} + 8 x + 16

= \int x^{2} + 8 x + 16 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 x^{2} d x + \int 8 x d x + \int 16 d x

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

\int 8 x d x = 4 x^{2}

\int 16 d x = 16 x

= \frac{x ^{3}}{3} + 4 x^{2} + 16 x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{3}}{3} + 4 x^{2} + 16 x + C

Graph

Beliebte Beispiele

limit as x approaches 7 of (x-7)/(3x^2-21x)

x \to 7 lim (\frac{x - 7}{3 x ^{2} - 21 x})

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\frac{\partial}{\partial x} (ln (x) + z ln (y))

y^{''}+7y^'+10y=3e^{4t}

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\frac{d}{d x} (A x e^{x^{2}})

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\int (2 sec^{2} (x) - x^{5}) d x