integral from 2 to 8 of (x^3-2)

Lösung

\int_{2}^{8} (x^{3} - 2) d x

1008

Schritte zur Lösung

\int_{2}^{8} x^{3} - 2 d x

Wende die Summenregel an:

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

= \int_{2}^{8} x^{3} d x - \int_{2}^{8} 2 d x

\int_{2}^{8} x^{3} d x = 1020

\int_{2}^{8} 2 d x = 12

= 1020 - 12

Vereinfache

= 1008

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