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Beliebt Rechnen >

integral of \sqrt[10]{x}+\sqrt[11]{x}

Lösung

\int 10 x + 11 x d x

Lösung

\frac{10}{11} x^{\frac{11}{10}} + \frac{11}{12} x^{\frac{12}{11}} + C

Schritte zur Lösung

\int 10 x + 11 x 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 x d x + \int 11 x d x

\int 10 x d x = \frac{10}{11} x^{\frac{11}{10}}

\int 11 x d x = \frac{11}{12} x^{\frac{12}{11}}

= \frac{10}{11} x^{\frac{11}{10}} + \frac{11}{12} x^{\frac{12}{11}}

Füge eine Konstante zur Lösung hinzu

= \frac{10}{11} x^{\frac{11}{10}} + \frac{11}{12} x^{\frac{12}{11}} + C

Graph

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