integral of sec^2(x)ln(tan(x))

Lösung

\int sec^{2} (x) ln (tan (x)) d x

ln (tan (x)) tan (x) - tan (x) + C

Schritte zur Lösung

\int sec^{2} (x) ln (tan (x)) d x

Wende die partielle Integration an

= ln (tan (x)) tan (x) - \int sec^{2} (x) d x

\int sec^{2} (x) d x = tan (x)

= ln (tan (x)) tan (x) - tan (x)

Füge eine Konstante zur Lösung hinzu

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

\int 2 tan (4 x) d x

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