integral from-2 to 2 of (-x^2+5)

Lösung

\int_{- 2}^{2} (- x^{2} + 5) d x

\frac{44}{3}

Dezimale

14.66666 \dots

Schritte zur Lösung

\int_{- 2}^{2} - x^{2} + 5 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} 5 d x

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

\int_{- 2}^{2} 5 d x = 20

= - \frac{16}{3} + 20

Vereinfache

- \frac{16}{3} + 20 : \frac{44}{3}

= \frac{44}{3}

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