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Beliebt Rechnen >

integral of 5cos(x)-sin(x)

Lösung

\int 5 cos (x) - sin (x) d x

Lösung

5 sin (x) + cos (x) + C

Schritte zur Lösung

\int 5 cos (x) - sin (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 5 cos (x) d x - \int sin (x) d x

\int 5 cos (x) d x = 5 sin (x)

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

= 5 sin (x) - (- cos (x))

Vereinfache

= 5 sin (x) + cos (x)

Füge eine Konstante zur Lösung hinzu

= 5 sin (x) + cos (x) + C

Graph

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\int sec^{3} (x) csc (x) d x

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\int - 2 x^{- 6} d x