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Beliebt Rechnen >

integral of \sqrt[6]{cot(x)}csc^2(x)

Lösung

\int 6 cot (x) csc^{2} (x) d x

Lösung

- \frac{6}{7} cot^{\frac{7}{6}} (x) + C

Schritte zur Lösung

\int 6 cot (x) csc^{2} (x) d x

Wende U-Substitution an

= \int - 6 u d u

Entferne die Konstante:

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

= - \int 6 u d u

Wende die Potenzregel an

= - \frac{6}{7} u^{\frac{7}{6}}

Setze in

u = cot (x)

ein

= - \frac{6}{7} cot^{\frac{7}{6}} (x)

Füge eine Konstante zur Lösung hinzu

= - \frac{6}{7} cot^{\frac{7}{6}} (x) + C

Graph

Beliebte Beispiele

integral from 0 to 1 of 1-x^2

\int_{0}^{1} 1 - x^{2} d x

integral of (x-2)^5

\int (x - 2)^{5} d x

derivative of 12x^5+45x^4-200x^3+4

\frac{d}{d x} (12 x^{5} + 45 x^{4} - 200 x^{3} + 4)

fläche y=x^2-2,y=x

a re a y = x^{2} - 2, y = x

derivative of \sqrt[7]{x^2}

\frac{d}{d x} (7 x^{2})