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Beliebt Rechnen >

integral of (csc^2(t)-2e^t)

Lösung

\int (csc^{2} (t) - 2 e^{t}) d t

Lösung

- cot (t) - 2 e^{t} + C

Schritte zur Lösung

\int csc^{2} (t) - 2 e^{t} d t

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^{2} (t) d t - \int 2 e^{t} d t

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

\int 2 e^{t} d t = 2 e^{t}

= - cot (t) - 2 e^{t}

Füge eine Konstante zur Lösung hinzu

= - cot (t) - 2 e^{t} + C

Graph

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