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Beliebt Rechnen >

integral of (9x+5)^2

Lösung

\int (9 x + 5)^{2} d x

Lösung

27 x^{3} + 45 x^{2} + 25 x + C

Schritte zur Lösung

\int (9 x + 5)^{2} d x

Multipliziere aus

(9 x + 5)^{2} : 81 x^{2} + 90 x + 25

= \int 81 x^{2} + 90 x + 25 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 81 x^{2} d x + \int 90 x d x + \int 25 d x

\int 81 x^{2} d x = 27 x^{3}

\int 90 x d x = 45 x^{2}

\int 25 d x = 25 x

= 27 x^{3} + 45 x^{2} + 25 x

Füge eine Konstante zur Lösung hinzu

= 27 x^{3} + 45 x^{2} + 25 x + C

Graph

Beliebte Beispiele

derivative f(x)=x^{-5}

d er i v a t i v e f (x) = x^{- 5}

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x \to 0 lim (\frac{2 ^{2 x} - 1}{x})

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