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Beliebt Rechnen >

integral of ((csc(y))^2-sec(y)tan(y))

Lösung

\int ((csc (y))^{2} - sec (y) tan (y)) d y

Lösung

- cot (y) - sec (y) + C

Schritte zur Lösung

\int (csc (y))^{2} - sec (y) tan (y) d y

Wende die Summenregel an:

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

= \int (csc (y))^{2} d y - \int sec (y) tan (y) d y

\int (csc (y))^{2} d y = - cot (y)

\int sec (y) tan (y) d y = sec (y)

= - cot (y) - sec (y)

Füge eine Konstante zur Lösung hinzu

= - cot (y) - sec (y) + C

Graph

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