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Beliebt Rechnen >

integral of ln(x)cos(x)

Lösung

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

Lösung

ln (x) sin (x) - Si (x) + C

Schritte zur Lösung

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

Wende die partielle Integration an

= ln (x) sin (x) - \int \frac{sin ( x )}{x} d x

\int \frac{sin ( x )}{x} d x = Si (x)

= ln (x) sin (x) - Si (x)

Füge eine Konstante zur Lösung hinzu

= ln (x) sin (x) - Si (x) + C

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