integral from 0 to 2 of (x^3-2x)

Lösung

\int_{0}^{2} (x^{3} - 2 x) d x

0

Schritte zur Lösung

\int_{0}^{2} x^{3} - 2 x 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_{0}^{2} x^{3} d x - \int_{0}^{2} 2 x d x

\int_{0}^{2} x^{3} d x = 4

\int_{0}^{2} 2 x d x = 4

= 4 - 4

Vereinfache

= 0

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