integral from 0 to 2 of-x^3+4x

Lösung

\int_{0}^{2} - x^{3} + 4 x d x

4

Schritte zur Lösung

\int_{0}^{2} - x^{3} + 4 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} 4 x d x

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

\int_{0}^{2} 4 x d x = 8

= - 4 + 8

Vereinfache

= 4

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