integral from-8 to 4 of (-x^2-3x)

Lösung

\int_{- 8}^{4} (- x^{2} - 3 x) d x

- 120

Schritte zur Lösung

\int_{- 8}^{4} - x^{2} - 3 x 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_{- 8}^{4} x^{2} d x - \int_{- 8}^{4} 3 x d x

\int_{- 8}^{4} x^{2} d x = 192

\int_{- 8}^{4} 3 x d x = - 72

= - 192 - (- 72)

Vereinfache

= - 120

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