integral of (ln(x))/(x^2)

Lösung

\int \frac{ln ( x )}{x ^{2}} d x

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

Schritte zur Lösung

\int \frac{ln ( x )}{x ^{2}} d x

Wende die partielle Integration an

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

\int - \frac{1}{x ^{2}} d x = \frac{1}{x}

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

Füge eine Konstante zur Lösung hinzu

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

y^{^{''}} + y = sec^{2} (x)

x \to 2 lim (x^{3} + 1)

\frac{d y}{d x} = \frac{x ^{2} - y ^{2} + y}{x}

\frac{\partial}{\partial x} (\frac{1}{x ^{2} + 3 y})

\int \frac{x ^{2} + x}{x ^{3} - x ^{2} + x - 1} d x