integral of ln(1/(x^2))

Lösung

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

- 2 x ln (x) + 2 x + C

Schritte zur Lösung

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

Wende die partielle Integration an

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

\int - 2 d x = - 2 x

= - x ln (x^{2}) - (- 2 x)

Vereinfache

- x ln (x^{2}) - (- 2 x) : - 2 x ln (x) + 2 x

= - 2 x ln (x) + 2 x

Füge eine Konstante zur Lösung hinzu

= - 2 x ln (x) + 2 x + C

\int (4 x^{3} + 3) (4 x^{2} + 1) d x

\int sec (t) (3 sec (t) + 8 tan (t)) d t

\int 3^{x} 4^{x} d x

\int 6 x (6 x^{2} + 1)^{\frac{5}{2}} d x

\int (x - \frac{1}{x ^{2}}) (x^{2} + \frac{2}{x})^{7} d x