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Beliebt Rechnen >

integral of (6sin(2x)-3cos(3x))

Lösung

\int (6 sin (2 x) - 3 cos (3 x)) d x

Lösung

- 3 cos (2 x) - sin (3 x) + C

Schritte zur Lösung

\int 6 sin (2 x) - 3 cos (3 x) d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 6 sin (2 x) d x - \int 3 cos (3 x) d x

\int 6 sin (2 x) d x = - 3 cos (2 x)

\int 3 cos (3 x) d x = sin (3 x)

= - 3 cos (2 x) - sin (3 x)

Füge eine Konstante zur Lösung hinzu

= - 3 cos (2 x) - sin (3 x) + C

Graph

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