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Beliebt Rechnen >

integral of-6sin(x)+7cos(x)

Lösung

\int - 6 sin (x) + 7 cos (x) d x

Lösung

6 cos (x) + 7 sin (x) + C

Schritte zur Lösung

\int - 6 sin (x) + 7 cos (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 (x) d x + \int 7 cos (x) d x

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

\int 7 cos (x) d x = 7 sin (x)

= - (- 6 cos (x)) + 7 sin (x)

Vereinfache

= 6 cos (x) + 7 sin (x)

Füge eine Konstante zur Lösung hinzu

= 6 cos (x) + 7 sin (x) + C

Graph

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