integral from-6 to-2 of (-x^2-8x-18)

Lösung

\int_{- 6}^{- 2} (- x^{2} - 8 x - 18) d x

- \frac{40}{3}

Dezimale

- 13.33333 \dots

Schritte zur Lösung

\int_{- 6}^{- 2} - x^{2} - 8 x - 18 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_{- 6}^{- 2} x^{2} d x - \int_{- 6}^{- 2} 8 x d x - \int_{- 6}^{- 2} 18 d x

\int_{- 6}^{- 2} x^{2} d x = \frac{208}{3}

\int_{- 6}^{- 2} 8 x d x = - 128

\int_{- 6}^{- 2} 18 d x = 72

= - \frac{208}{3} - (- 128) - 72

Vereinfache

- \frac{208}{3} - (- 128) - 72 : - \frac{40}{3}

= - \frac{40}{3}

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