integral from 0 to 2 of (5x^3-6x-2)

Lösung

\int_{0}^{2} (5 x^{3} - 6 x - 2) d x

4

Schritte zur Lösung

\int_{0}^{2} 5 x^{3} - 6 x - 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_{0}^{2} 5 x^{3} d x - \int_{0}^{2} 6 x d x - \int_{0}^{2} 2 d x

\int_{0}^{2} 5 x^{3} d x = 20

\int_{0}^{2} 6 x d x = 12

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

= 20 - 12 - 4

Vereinfache

= 4

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