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

Lösung

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

105 - \frac{10 5}{3}

Dezimale

14.90711 \dots

Schritte zur Lösung

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

\int_{- 5}^{5} 5 d x = 105

\int_{- 5}^{5} x^{2} d x = \frac{10 5}{3}

= 105 - \frac{10 5}{3}

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