integral from-3 to 2 of 9-x^2

Lösung

\int_{- 3}^{2} 9 - x^{2} d x

\frac{100}{3}

Dezimale

33.33333 \dots

Schritte zur Lösung

\int_{- 3}^{2} 9 - 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_{- 3}^{2} 9 d x - \int_{- 3}^{2} x^{2} d x

\int_{- 3}^{2} 9 d x = 45

\int_{- 3}^{2} x^{2} d x = \frac{35}{3}

= 45 - \frac{35}{3}

Vereinfache

45 - \frac{35}{3} : \frac{100}{3}

= \frac{100}{3}

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