integral of x13^x

Lösung

\int x 1 3^{x} d x

\frac{1 3 ^{x} x}{ln ( 13 )} - \frac{1 3 ^{x}}{ln ^{2} ( 13 )} + C

Schritte zur Lösung

\int x \cdot 1 3^{x} d x

Wende die partielle Integration an

= \frac{1 3 ^{x} x}{ln ( 13 )} - \int \frac{1 3 ^{x}}{ln ( 13 )} d x

\int \frac{1 3 ^{x}}{ln ( 13 )} d x = \frac{1 3 ^{x}}{ln ^{2} ( 13 )}

= \frac{1 3 ^{x} x}{ln ( 13 )} - \frac{1 3 ^{x}}{ln ^{2} ( 13 )}

Füge eine Konstante zur Lösung hinzu

= \frac{1 3 ^{x} x}{ln ( 13 )} - \frac{1 3 ^{x}}{ln ^{2} ( 13 )} + C

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