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Beliebt Rechnen >

integral of (-7sec(x)tan(x)+8sec^2(x))

Lösung

\int (- 7 sec (x) tan (x) + 8 sec^{2} (x)) d x

Lösung

- 7 sec (x) + 8 tan (x) + C

Schritte zur Lösung

\int - 7 sec (x) tan (x) + 8 sec^{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 7 sec (x) tan (x) d x + \int 8 sec^{2} (x) d x

\int 7 sec (x) tan (x) d x = 7 sec (x)

\int 8 sec^{2} (x) d x = 8 tan (x)

= - 7 sec (x) + 8 tan (x)

Füge eine Konstante zur Lösung hinzu

= - 7 sec (x) + 8 tan (x) + C

Graph

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