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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Graph

Beliebte Beispiele

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\int \frac{1}{y} d y

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\int (6 x^{2} + 2 x) d x

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\int 2 x (1 + x^{2}) d x

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\int 2 sin (\frac{π x}{2}) d x