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

Lösung

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

- \frac{475}{6}

Dezimale

- 79.16666 \dots

Schritte zur Lösung

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

\int_{- 8}^{- 3} x^{2} d x = \frac{485}{3}

\int_{- 8}^{- 3} 3 x d x = - \frac{165}{2}

= - \frac{485}{3} - (- \frac{165}{2})

Vereinfache

- \frac{485}{3} - (- \frac{165}{2}) : - \frac{475}{6}

= - \frac{475}{6}