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Beliebt Rechnen >

integral of arccot(9x)

Lösung

\int arccot (9 x) d x

Lösung

x arccot (9 x) + \frac{1}{18} ln 81 x^{2} + 1 + C

Schritte zur Lösung

\int arccot (9 x) d x

Wende die partielle Integration an

= x arccot (9 x) - \int - \frac{9 x}{81 x ^{2} + 1} d x

\int - \frac{9 x}{81 x ^{2} + 1} d x = - \frac{1}{18} ln 81 x^{2} + 1

= x arccot (9 x) - (- \frac{1}{18} ln 81 x^{2} + 1)

Vereinfache

= x arccot (9 x) + \frac{1}{18} ln 81 x^{2} + 1

Füge eine Konstante zur Lösung hinzu

= x arccot (9 x) + \frac{1}{18} ln 81 x^{2} + 1 + C

Graph

Beliebte Beispiele

y^{''}-2y^'-15y=3xcos(2x)

y^{^{''}} - 2 y^{^{'}} - 15 y = 3 x cos (2 x)

limit as x approaches 2 of (-1+x)/(x-2)

x \to 2 lim (\frac{- 1 + x}{x - 2})

limit as x approaches infinity of-2e^{2/x}

x \to \infty lim (- 2 e^{\frac{2}{x}})

tangent 9x^{1/2}+x^{3/2}

t an g e n t 9 x^{\frac{1}{2}} + x^{\frac{3}{2}}

integral of e^{4x+3}

\int e^{4 x + 3} d x