integral of (ln(6x))/(x^4)

Lösung

\int \frac{ln ( 6 x )}{x ^{4}} d x

- \frac{ln ( 6 x )}{3 x ^{3}} - \frac{1}{9 x ^{3}} + C

Schritte zur Lösung

\int \frac{ln ( 6 x )}{x ^{4}} d x

Wende die partielle Integration an

= - \frac{ln ( 6 x )}{3 x ^{3}} - \int - \frac{1}{3 x ^{4}} d x

\int - \frac{1}{3 x ^{4}} d x = \frac{1}{9 x ^{3}}

= - \frac{ln ( 6 x )}{3 x ^{3}} - \frac{1}{9 x ^{3}}

Füge eine Konstante zur Lösung hinzu

= - \frac{ln ( 6 x )}{3 x ^{3}} - \frac{1}{9 x ^{3}} + C

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

\frac{\partial}{\partial z} (arctan (\frac{y}{x}))

\int \frac{x ^{2} - x + 10}{( x + 2 ) ( x ^{2} + 4 )} d x

\frac{\partial}{\partial x} (2 x^{3} + x^{2} y^{3} - 3 y^{2})

n = 0 \sum \infty 3 (- 0.1)^{n}