integral from 0 to 2 of 1-x^3

Lösung

\int_{0}^{2} 1 - x^{3} d x

- 2

Schritte zur Lösung

\int_{0}^{2} 1 - 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} 1 d x - \int_{0}^{2} x^{3} d x

\int_{0}^{2} 1 d x = 2

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

= 2 - 4

Vereinfache

= - 2

\int_{- \frac{1}{2}}^{\frac{1}{2}} cos (π x) d x

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