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Beliebt Rechnen >

integral of x*\sqrt[4]{x^{11}}

Lösung

\int x \cdot 4 x^{11} d x

Lösung

\frac{4}{19} x^{\frac{19}{4}} + C

Schritte zur Lösung

\int x 4 x^{11} d x

4 x^{11} = x^{\frac{11}{4}},

angenommen

x \geq 0

= \int x x^{\frac{11}{4}} d x

Vereinfache

x x^{\frac{11}{4}} : x^{\frac{15}{4}}

= \int x^{\frac{15}{4}} d x

Wende die Potenzregel an

= \frac{4}{19} x^{\frac{19}{4}}

Füge eine Konstante zur Lösung hinzu

= \frac{4}{19} x^{\frac{19}{4}} + C

Graph

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