integral from 0 to 2 of x+6-x^3

Lösung

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

10

Schritte zur Lösung

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

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

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

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

= 2 + 12 - 4

Vereinfache

= 10

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