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Beliebt Rechnen >

integral of cot^3(x)csc^2(x)

Lösung

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

Lösung

- \frac{cot ^{4} ( x )}{4} + C

Schritte zur Lösung

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

Wende U-Substitution an

= \int - u^{3} d u

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \int u^{3} d u

Wende die Potenzregel an

= - \frac{u ^{4}}{4}

Setze in

u = cot (x)

ein

= - \frac{cot ^{4} ( x )}{4}

Füge eine Konstante zur Lösung hinzu

= - \frac{cot ^{4} ( x )}{4} + C

Graph

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