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

Lösung

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

- \frac{20}{3}

Dezimale

- 6.66666 \dots

Schritte zur Lösung

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

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

\int_{- 2}^{2} 3 d x = 12

= \frac{16}{3} - 12

Vereinfache

\frac{16}{3} - 12 : - \frac{20}{3}

= - \frac{20}{3}

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