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Beliebt Rechnen >

integral of 2/(3\sqrt[3]{t)}-3/(1+t^2)

Lösung

\int \frac{2}{3 3 t} - \frac{3}{1 + t ^{2}} d t

Lösung

t^{\frac{2}{3}} - 3 arctan (t) + C

Schritte zur Lösung

\int \frac{2}{3 3 t} - \frac{3}{1 + t ^{2}} d t

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int \frac{2}{3 3 t} d t - \int \frac{3}{1 + t ^{2}} d t

\int \frac{2}{3 3 t} d t = t^{\frac{2}{3}}

\int \frac{3}{1 + t ^{2}} d t = 3 arctan (t)

= t^{\frac{2}{3}} - 3 arctan (t)

Füge eine Konstante zur Lösung hinzu

= t^{\frac{2}{3}} - 3 arctan (t) + C

Graph

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