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Beliebt Rechnen >

integral of arctan(x)+C

Lösung

\int arctan (x) + C d x

Lösung

x arctan (x) - \frac{1}{2} ln x^{2} + 1 + C x + C

Schritte zur Lösung

\int arctan (x) + C d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int arctan (x) d x + \int C d x

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

\int C d x = C x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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