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Beliebt Rechnen >

integral of 6/x+2pi

Lösung

\int \frac{6}{x} + 2 π d x

Lösung

6 ln ∣ x ∣ + 2 π x + C

Schritte zur Lösung

\int \frac{6}{x} + 2 π 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 \frac{6}{x} d x + \int 2 π d x

\int \frac{6}{x} d x = 6 ln ∣ x ∣

\int 2 π d x = 2 π x

= 6 ln ∣ x ∣ + 2 π x

Füge eine Konstante zur Lösung hinzu

= 6 ln ∣ x ∣ + 2 π x + C

Graph

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