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

Lösung

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

18

Schritte zur Lösung

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

\int_{0}^{2} 3 x^{3} d x = 12

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

\int_{0}^{2} 5 d x = 10

= 12 - 4 + 10

Vereinfache

= 18

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