integral from-5 to 4 of (-x^2-3x)

Lösung

\int_{- 5}^{4} (- x^{2} - 3 x) d x

- \frac{99}{2}

Dezimale

- 49.5

Schritte zur Lösung

\int_{- 5}^{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_{- 5}^{4} x^{2} d x - \int_{- 5}^{4} 3 x d x

\int_{- 5}^{4} x^{2} d x = 63

\int_{- 5}^{4} 3 x d x = - \frac{27}{2}

= - 63 - (- \frac{27}{2})

Vereinfache

- 63 - (- \frac{27}{2}) : - \frac{99}{2}

= - \frac{99}{2}

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