integral of ln(\sqrt[3]{x})

Lösung

\int ln (3 x) d x

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

Schritte zur Lösung

\int ln (3 x) d x

Wende die partielle Integration an

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

\int \frac{1}{3} d x = \frac{1}{3} x

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

Vereinfache

ln (3 x) : \frac{1}{3} ln (x)

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

Füge eine Konstante zur Lösung hinzu

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

\frac{d}{d x} ((\frac{x ^{2} + 4}{x ^{2} - 4})^{3})

\int \frac{2 x + 3}{4 x ^{2} - 9} d x

x \to 0 lim (\frac{x + 2}{x ^{2}})

x \to - 4 lim (x^{2} + 3 x - 7)

\frac{\partial}{\partial y} (x z cos (x + yz))