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Beliebt Rechnen >

integral of arctan(x/4)

Lösung

\int arctan (\frac{x}{4}) d x

Lösung

x arctan (\frac{x}{4}) - 2 ln x^{2} + 16 + C

Schritte zur Lösung

\int arctan (\frac{x}{4}) d x

Wende die partielle Integration an

= x arctan (\frac{x}{4}) - \int \frac{4 x}{x ^{2} + 16} d x

\int \frac{4 x}{x ^{2} + 16} d x = 2 ln x^{2} + 16

= x arctan (\frac{x}{4}) - 2 ln x^{2} + 16

Füge eine Konstante zur Lösung hinzu

= x arctan (\frac{x}{4}) - 2 ln x^{2} + 16 + C

Graph

Beliebte Beispiele

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