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

Lösung

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

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

Schritte zur Lösung

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

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

= \int (\frac{6}{13} x^{\frac{13}{7}} + C) d x

\int (\frac{6}{13} x^{\frac{13}{7}} + C) d x = \frac{21}{130} x^{\frac{20}{7}} + C x + C

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

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