integral from-2 to 0 of x^2-4x

Lösung

\int_{- 2}^{0} x^{2} - 4 x d x

\frac{32}{3}

Dezimale

10.66666 \dots

Schritte zur Lösung

\int_{- 2}^{0} x^{2} - 4 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_{- 2}^{0} x^{2} d x - \int_{- 2}^{0} 4 x d x

\int_{- 2}^{0} x^{2} d x = \frac{8}{3}

\int_{- 2}^{0} 4 x d x = - 8

= \frac{8}{3} - (- 8)

Vereinfache

\frac{8}{3} - (- 8) : \frac{32}{3}

= \frac{32}{3}

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