integral from-2 to 2 of (8-2x^2)

Lösung

\int_{- 2}^{2} (8 - 2 x^{2}) d x

\frac{64}{3}

Dezimale

21.33333 \dots

Schritte zur Lösung

\int_{- 2}^{2} 8 - 2 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_{- 2}^{2} 8 d x - \int_{- 2}^{2} 2 x^{2} d x

\int_{- 2}^{2} 8 d x = 32

\int_{- 2}^{2} 2 x^{2} d x = \frac{32}{3}

= 32 - \frac{32}{3}

Vereinfache

32 - \frac{32}{3} : \frac{64}{3}

= \frac{64}{3}

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