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Beliebt Rechnen >

integral of xsin(9-x)

Lösung

\int x sin (9 - x) d x

Lösung

x cos (9 - x) + sin (9 - x) + C

Schritte zur Lösung

\int x sin (9 - x) d x

Wende die partielle Integration an

= x cos (9 - x) - \int cos (9 - x) d x

\int cos (9 - x) d x = - sin (9 - x)

= x cos (9 - x) - (- sin (9 - x))

Vereinfache

= x cos (9 - x) + sin (9 - x)

Füge eine Konstante zur Lösung hinzu

= x cos (9 - x) + sin (9 - x) + C

Graph

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