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Beliebt Rechnen >

integral of 10+(500)/(x+1)

Lösung

\int 10 + \frac{500}{x + 1} d x

Lösung

10 x + 500 ln ∣ x + 1 ∣ + C

Schritte zur Lösung

\int 10 + \frac{500}{x + 1} 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 10 d x + \int \frac{500}{x + 1} d x

\int 10 d x = 10 x

\int \frac{500}{x + 1} d x = 500 ln ∣ x + 1 ∣

= 10 x + 500 ln ∣ x + 1 ∣

Füge eine Konstante zur Lösung hinzu

= 10 x + 500 ln ∣ x + 1 ∣ + C

Graph

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