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Beliebt Rechnen >

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

Lösung

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

Lösung

ln (arctan (x)) arctan (x) - arctan (x) + C

Schritte zur Lösung

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

Wende die partielle Integration an

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

\int \frac{1}{x ^{2} + 1} d x = arctan (x)

= ln (arctan (x)) arctan (x) - arctan (x)

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

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