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Beliebt Rechnen >

integral of (9t^2+1/(sqrt(t^3)))

Lösung

\int (9 t^{2} + \frac{1}{t ^{3}}) d t

Lösung

3 t^{3} - \frac{2}{t} + C

Schritte zur Lösung

\int 9 t^{2} + \frac{1}{t ^{3}} 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 9 t^{2} d t + \int \frac{1}{t ^{3}} d t

\int 9 t^{2} d t = 3 t^{3}

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

= 3 t^{3} - \frac{2}{t}

Füge eine Konstante zur Lösung hinzu

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

Graph

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