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Beliebt Rechnen >

integral of 6/13 x^{13/7}

Lösung

\int \frac{6}{13} x^{\frac{13}{7}} d x

Lösung

\frac{21}{130} x^{\frac{20}{7}} + C

Schritte zur Lösung

\int \frac{6}{13} x^{\frac{13}{7}} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{6}{13} \cdot \int x^{\frac{13}{7}} d x

Wende die Potenzregel an

= \frac{6}{13} \cdot \frac{7}{20} x^{\frac{20}{7}}

Vereinfache

\frac{6}{13} \cdot \frac{7}{20} x^{\frac{20}{7}} : \frac{21}{130} x^{\frac{20}{7}}

= \frac{21}{130} x^{\frac{20}{7}}

Füge eine Konstante zur Lösung hinzu

= \frac{21}{130} x^{\frac{20}{7}} + C

Graph

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