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Beliebt Rechnen >

integral of arctan(t)

Lösung

\int arctan (t) d t

Lösung

t arctan (t) - \frac{1}{2} ln t^{2} + 1 + C

Schritte zur Lösung

\int arctan (t) d t

Wende die partielle Integration an

= t arctan (t) - \int \frac{t}{t ^{2} + 1} d t

\int \frac{t}{t ^{2} + 1} d t = \frac{1}{2} ln t^{2} + 1

= t arctan (t) - \frac{1}{2} ln t^{2} + 1

Füge eine Konstante zur Lösung hinzu

= t arctan (t) - \frac{1}{2} ln t^{2} + 1 + C

Graph

Beliebte Beispiele

(dQ)/(dt)+(5Q)/(100-2t)=300

\frac{d Q}{d t} + \frac{5 Q}{100 - 2 t} = 300

derivative of x/(x^3-8)

\frac{d}{d x} (\frac{x}{x ^{3} - 8})

integral of (3x-1)/(x^2(x+1))

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

integral of ((2x-5))/((x+2)(x+3))

\int \frac{( 2 x - 5 )}{( x + 2 ) ( x + 3 )} d x

limit as x approaches 0-of x[x]cot(x)

x \to 0 - lim (x [x] cot (x))