integral of rln(r)

Lösung

\int r ln (r) d r

\frac{1}{2} r^{2} ln (r) - \frac{r ^{2}}{4} + C

Schritte zur Lösung

\int r ln (r) d r

Wende die partielle Integration an

= \frac{1}{2} r^{2} ln (r) - \int \frac{r}{2} d r

\int \frac{r}{2} d r = \frac{r ^{2}}{4}

= \frac{1}{2} r^{2} ln (r) - \frac{r ^{2}}{4}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{2} r^{2} ln (r) - \frac{r ^{2}}{4} + C

x \to 1 lim (\frac{x ^{8} - 1}{x - 1})

n = 1 \sum \infty \frac{( 3 ^{n - 1} )}{9 ^{n}}

\int_{1}^{2} 2 x x^{2} + 1 d x

n = 3 \sum \infty \frac{1}{3 ^{n}}

d er i v a t i v e (\frac{1}{y ^{2}} - \frac{7}{y ^{4}}) (y + 3 y^{3})