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Beliebt Rechnen >

integral of cos(2x)ln(tan(x))

Lösung

\int cos (2 x) ln (tan (x)) d x

Lösung

- x + \frac{1}{2} ln (tan (x)) sin (2 x) + C

Schritte zur Lösung

\int cos (2 x) ln (tan (x)) d x

Wende die partielle Integration an

= - \int 1 d x + \frac{1}{2} ln (tan (x)) sin (2 x)

\int 1 d x = x

= - x + \frac{1}{2} ln (tan (x)) sin (2 x)

Füge eine Konstante zur Lösung hinzu

= - x + \frac{1}{2} ln (tan (x)) sin (2 x) + C

Graph

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