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Beliebt Rechnen >

integral of (tan(x)+cot(x))

Lösung

\int (tan (x) + cot (x)) d x

Lösung

- ln ∣ cos (x) ∣ + ln ∣ sin (x) ∣ + C

Schritte zur Lösung

\int tan (x) + cot (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 tan (x) d x + \int cot (x) d x

\int tan (x) d x = - ln ∣ cos (x) ∣

\int cot (x) d x = ln ∣ sin (x) ∣

= - ln ∣ cos (x) ∣ + ln ∣ sin (x) ∣

Füge eine Konstante zur Lösung hinzu

= - ln ∣ cos (x) ∣ + ln ∣ sin (x) ∣ + C

Graph

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\int_{0}^{y} 2 (x + y) d x