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Beliebt Rechnen >

integral of (6x^{1/5}+10)

Lösung

\int (6 x^{\frac{1}{5}} + 10) d x

Lösung

5 x^{\frac{6}{5}} + 10 x + C

Schritte zur Lösung

\int 6 x^{\frac{1}{5}} + 10 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 6 x^{\frac{1}{5}} d x + \int 10 d x

\int 6 x^{\frac{1}{5}} d x = 5 x^{\frac{6}{5}}

\int 10 d x = 10 x

= 5 x^{\frac{6}{5}} + 10 x

Füge eine Konstante zur Lösung hinzu

= 5 x^{\frac{6}{5}} + 10 x + C

Graph

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