integral from-2 to 2 of (x^3+1)

Lösung

\int_{- 2}^{2} (x^{3} + 1) d x

4

Schritte zur Lösung

\int_{- 2}^{2} x^{3} + 1 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_{- 2}^{2} x^{3} d x + \int_{- 2}^{2} 1 d x

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

\int_{- 2}^{2} 1 d x = 4

= 0 + 4

Vereinfache

= 4

\int_{- 6}^{0} x d x

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