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Beliebt Rechnen >

integral of (8t^3-6t^{-2})

Lösung

\int (8 t^{3} - 6 t^{- 2}) d t

Lösung

2 t^{4} + \frac{6}{t} + C

Schritte zur Lösung

\int 8 t^{3} - 6 t^{- 2} d t

6 t^{- 2} = \frac{6}{t ^{2}}

= \int 8 t^{3} - \frac{6}{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 8 t^{3} d t - \int \frac{6}{t ^{2}} d t

\int 8 t^{3} d t = 2 t^{4}

\int \frac{6}{t ^{2}} d t = - \frac{6}{t}

= 2 t^{4} - (- \frac{6}{t})

Vereinfache

= 2 t^{4} + \frac{6}{t}

Füge eine Konstante zur Lösung hinzu

= 2 t^{4} + \frac{6}{t} + C

Graph

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