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

Lösung

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

- 2 cot (x) - 3 tan (x) + C

Schritte zur Lösung

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

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

\int 3 sec^{2} (x) d x = 3 tan (x)

= - 2 cot (x) - 3 tan (x)

Füge eine Konstante zur Lösung hinzu

= - 2 cot (x) - 3 tan (x) + C

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