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Beliebt Rechnen >

integral of (3sec(x)tan(x)-4csc^2(x))

Lösung

\int (3 sec (x) tan (x) - 4 csc^{2} (x)) d x

Lösung

3 sec (x) + 4 cot (x) + C

Schritte zur Lösung

\int 3 sec (x) tan (x) - 4 csc^{2} (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 3 sec (x) tan (x) d x - \int 4 csc^{2} (x) d x

\int 3 sec (x) tan (x) d x = 3 sec (x)

\int 4 csc^{2} (x) d x = - 4 cot (x)

= 3 sec (x) - (- 4 cot (x))

Vereinfache

= 3 sec (x) + 4 cot (x)

Füge eine Konstante zur Lösung hinzu

= 3 sec (x) + 4 cot (x) + C

Graph

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