integral from-2 to 2 of-x^2-4

Lösung

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

- \frac{64}{3}

Dezimale

- 21.33333 \dots

Schritte zur Lösung

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

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

\int_{- 2}^{2} 4 d x = 16

= - \frac{16}{3} - 16

Vereinfache

- \frac{16}{3} - 16 : - \frac{64}{3}

= - \frac{64}{3}

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