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Beliebt Rechnen >

integral of tarctan(t)

Lösung

\int t arctan (t) d t

Lösung

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

Schritte zur Lösung

\int t arctan (t) d t

Wende die partielle Integration an

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of cos(6x)cos(8x)

\int cos (6 x) cos (8 x) d x

limit as x approaches 0 of-x

x \to 0 lim (- x)

integral of 40x

\int 40 x d x

derivative of (6x^2-x^4/9)

\frac{d}{d x} (\frac{6 x ^{2} - x ^{4}}{9})

(\partial)/(\partial x)(2z^3*ysin(x))

\frac{\partial}{\partial x} (2 z^{3} \cdot y sin (x))