integral from-8 to 1 of-x^2-3x

Lösung

\int_{- 8}^{1} - x^{2} - 3 x d x

- \frac{153}{2}

Dezimale

- 76.5

Schritte zur Lösung

\int_{- 8}^{1} - 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}^{1} x^{2} d x - \int_{- 8}^{1} 3 x d x

\int_{- 8}^{1} x^{2} d x = 171

\int_{- 8}^{1} 3 x d x = - \frac{189}{2}

= - 171 - (- \frac{189}{2})

Vereinfache

- 171 - (- \frac{189}{2}) : - \frac{153}{2}

= - \frac{153}{2}

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