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Beliebt Rechnen >

integral of xcsc^2(x)cot(x)

Lösung

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

Lösung

- \frac{1}{2} x csc^{2} (x) - \frac{1}{2} cot (x) + C

Schritte zur Lösung

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

Wende die partielle Integration an

= - \frac{1}{2} x csc^{2} (x) - \int - \frac{1}{2} csc^{2} (x) d x

\int - \frac{1}{2} csc^{2} (x) d x = \frac{1}{2} cot (x)

= - \frac{1}{2} x csc^{2} (x) - \frac{1}{2} cot (x)

Füge eine Konstante zur Lösung hinzu

= - \frac{1}{2} x csc^{2} (x) - \frac{1}{2} cot (x) + C

Graph

Beliebte Beispiele

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\int \frac{3 + sin ( x )}{cos ^{2} ( x )} d x

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\int \frac{9 x ^{2} - 16}{x ^{3}} d x

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\int 24 x d x

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\int 11 x e^{- 2 x} d x