integral from-6 to 2 of x-sqrt(12-4x)

Lösung

\int_{- 6}^{2} x - 12 - 4 x d x

- \frac{152}{3}

Dezimale

- 50.66666 \dots

Schritte zur Lösung

\int_{- 6}^{2} x - 12 - 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_{- 6}^{2} x d x - \int_{- 6}^{2} 12 - 4 x d x

\int_{- 6}^{2} x d x = - 16

\int_{- 6}^{2} 12 - 4 x d x = \frac{104}{3}

= - 16 - \frac{104}{3}

Vereinfache

- 16 - \frac{104}{3} : - \frac{152}{3}

= - \frac{152}{3}

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