integral from-2 to 2 of (x^6-3x^2)

Lösung

\int_{- 2}^{2} (x^{6} - 3 x^{2}) d x

\frac{144}{7}

Dezimale

20.57142 \dots

Schritte zur Lösung

\int_{- 2}^{2} x^{6} - 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_{- 2}^{2} x^{6} d x - \int_{- 2}^{2} 3 x^{2} d x

\int_{- 2}^{2} x^{6} d x = \frac{256}{7}

\int_{- 2}^{2} 3 x^{2} d x = 16

= \frac{256}{7} - 16

Vereinfache

\frac{256}{7} - 16 : \frac{144}{7}

= \frac{144}{7}

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