integral from-6 to 2 of-x^2-3x

Lösung

\int_{- 6}^{2} - x^{2} - 3 x d x

- \frac{80}{3}

Dezimale

- 26.66666 \dots

Schritte zur Lösung

\int_{- 6}^{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_{- 6}^{2} x^{2} d x - \int_{- 6}^{2} 3 x d x

\int_{- 6}^{2} x^{2} d x = \frac{224}{3}

\int_{- 6}^{2} 3 x d x = - 48

= - \frac{224}{3} - (- 48)

Vereinfache

- \frac{224}{3} - (- 48) : - \frac{80}{3}

= - \frac{80}{3}