integral of re^{r/3}

Lösung

\int r e^{\frac{r}{3}} d r

3 e^{\frac{r}{3}} r - 9 e^{\frac{r}{3}} + C

Schritte zur Lösung

\int r e^{\frac{r}{3}} d r

Wende die partielle Integration an

= 3 e^{\frac{r}{3}} r - \int 3 e^{\frac{r}{3}} d r

\int 3 e^{\frac{r}{3}} d r = 9 e^{\frac{r}{3}}

= 3 e^{\frac{r}{3}} r - 9 e^{\frac{r}{3}}

Füge eine Konstante zur Lösung hinzu

= 3 e^{\frac{r}{3}} r - 9 e^{\frac{r}{3}} + C

\frac{\partial}{\partial x} (x^{2} + y^{2} - y^{2} x - 2)

x \to \infty + lim (x^{3})

x \to 0 - lim (18 - \frac{4}{x ^{3}})

\frac{d}{d x} (e^{x s i n h (x)})

\int \frac{x}{3 x ^{2} - 8} d x