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Beliebt Rechnen >

integral of arccot(3x)

Lösung

\int arccot (3 x) d x

Lösung

x arccot (3 x) + \frac{1}{6} ln 9 x^{2} + 1 + C

Schritte zur Lösung

\int arccot (3 x) d x

Wende die partielle Integration an

= x arccot (3 x) - \int - \frac{3 x}{9 x ^{2} + 1} d x

\int - \frac{3 x}{9 x ^{2} + 1} d x = - \frac{1}{6} ln 9 x^{2} + 1

= x arccot (3 x) - (- \frac{1}{6} ln 9 x^{2} + 1)

Vereinfache

= x arccot (3 x) + \frac{1}{6} ln 9 x^{2} + 1

Füge eine Konstante zur Lösung hinzu

= x arccot (3 x) + \frac{1}{6} ln 9 x^{2} + 1 + C

Graph

Beliebte Beispiele

y^{^{'}} + y = 6

tangent y= x/(x+3),(1,2)

t an g e n t y = \frac{x}{x + 3}, (1, 2)

derivative of 3x^2+3

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

tangent 6/(sqrt(x))

t an g e n t \frac{6}{x}

sum from n=1 to infinity of n^{-2/3}

n = 1 \sum \infty n^{- \frac{2}{3}}