integral of 6^xx

Lösung

\int 6^{x} x d x

\frac{6 ^{x} x}{ln ( 6 )} - \frac{6 ^{x}}{ln ^{2} ( 6 )} + C

Schritte zur Lösung

\int 6^{x} x d x

Wende die partielle Integration an

= \frac{6 ^{x} x}{ln ( 6 )} - \int \frac{6 ^{x}}{ln ( 6 )} d x

\int \frac{6 ^{x}}{ln ( 6 )} d x = \frac{6 ^{x}}{ln ^{2} ( 6 )}

= \frac{6 ^{x} x}{ln ( 6 )} - \frac{6 ^{x}}{ln ^{2} ( 6 )}

Füge eine Konstante zur Lösung hinzu

= \frac{6 ^{x} x}{ln ( 6 )} - \frac{6 ^{x}}{ln ^{2} ( 6 )} + C

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