integral from-3/2 to 3/2 of x^3-x+2

Lösung

\int_{- \frac{3}{2}}^{\frac{3}{2}} x^{3} - x + 2 d x

6

Schritte zur Lösung

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

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

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

\int_{- \frac{3}{2}}^{\frac{3}{2}} 2 d x = 6

= 0 - 0 + 6

Vereinfache

= 6

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