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Beliebt Rechnen >

integral of tcsc^2(t)

Lösung

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

Lösung

- t cot (t) + ln ∣ sin (t) ∣ + C

Schritte zur Lösung

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

Wende die partielle Integration an

= - t cot (t) - \int - cot (t) d t

\int - cot (t) d t = - ln ∣ sin (t) ∣

= - t cot (t) - (- ln ∣ sin (t) ∣)

Vereinfache

= - t cot (t) + ln ∣ sin (t) ∣

Füge eine Konstante zur Lösung hinzu

= - t cot (t) + ln ∣ sin (t) ∣ + C

Graph

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