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

Lösung

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

\frac{56}{3}

Dezimale

18.66666 \dots

Schritte zur Lösung

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

\int_{- 2}^{2} 6 d x = 24

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

= 24 - \frac{16}{3}

Vereinfache

24 - \frac{16}{3} : \frac{56}{3}

= \frac{56}{3}

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