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Beliebt Rechnen >

integral of sin(pi)x-3sin(3x)

Lösung

\int sin (π) x - 3 sin (3 x) d x

Lösung

cos (3 x) + C

Schritte zur Lösung

\int sin (π) x - 3 sin (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 sin (π) x d x - \int 3 sin (3 x) d x

\int sin (π) x d x = 0

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

= 0 - (- cos (3 x))

Vereinfache

= cos (3 x)

Füge eine Konstante zur Lösung hinzu

= cos (3 x) + C

Graph

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