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Beliebt Rechnen >

integral of arctan(8t)

Lösung

\int arctan (8 t) d t

Lösung

t arctan (8 t) - \frac{1}{16} ln 64 t^{2} + 1 + C

Schritte zur Lösung

\int arctan (8 t) d t

Wende die partielle Integration an

= t arctan (8 t) - \int \frac{8 t}{64 t ^{2} + 1} d t

\int \frac{8 t}{64 t ^{2} + 1} d t = \frac{1}{16} ln 64 t^{2} + 1

= t arctan (8 t) - \frac{1}{16} ln 64 t^{2} + 1

Füge eine Konstante zur Lösung hinzu

= t arctan (8 t) - \frac{1}{16} ln 64 t^{2} + 1 + C

Graph

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