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

Lösung

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

- \frac{40}{3}

Dezimale

- 13.33333 \dots

Schritte zur Lösung

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

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

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

= - \frac{16}{3} - 8

Vereinfache

- \frac{16}{3} - 8 : - \frac{40}{3}

= - \frac{40}{3}