integral from-8 to 2 of-x^2-3x

Lösung

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

- \frac{250}{3}

Dezimale

- 83.33333 \dots

Schritte zur Lösung

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

\int_{- 8}^{2} x^{2} d x = \frac{520}{3}

\int_{- 8}^{2} 3 x d x = - 90

= - \frac{520}{3} - (- 90)

Vereinfache

- \frac{520}{3} - (- 90) : - \frac{250}{3}

= - \frac{250}{3}

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