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Beliebt Rechnen >

integral of (6x+5)^2

Lösung

\int (6 x + 5)^{2} d x

Lösung

12 x^{3} + 30 x^{2} + 25 x + C

Schritte zur Lösung

\int (6 x + 5)^{2} d x

Multipliziere aus

(6 x + 5)^{2} : 36 x^{2} + 60 x + 25

= \int 36 x^{2} + 60 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 36 x^{2} d x + \int 60 x d x + \int 25 d x

\int 36 x^{2} d x = 12 x^{3}

\int 60 x d x = 30 x^{2}

\int 25 d x = 25 x

= 12 x^{3} + 30 x^{2} + 25 x

Füge eine Konstante zur Lösung hinzu

= 12 x^{3} + 30 x^{2} + 25 x + C

Graph

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