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Beliebt Rechnen >

integral of (cos(x)cos(y)-cot(x))

Lösung

\int (cos (x) cos (y) - cot (x)) d x

Lösung

- ln ∣ sin (x) ∣ + cos (y) sin (x) + C

Schritte zur Lösung

\int cos (x) cos (y) - cot (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 cot (x) d x + \int cos (y) cos (x) d x

\int cot (x) d x = ln ∣ sin (x) ∣

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

= - ln ∣ sin (x) ∣ + cos (y) sin (x)

Füge eine Konstante zur Lösung hinzu

= - ln ∣ sin (x) ∣ + cos (y) sin (x) + C

Graph

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