integral from 4 to 6 of 4x-x^2

Lösung

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

- \frac{32}{3}

Dezimale

- 10.66666 \dots

Schritte zur Lösung

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

\int_{4}^{6} 4 x d x = 40

\int_{4}^{6} x^{2} d x = \frac{152}{3}

= 40 - \frac{152}{3}

Vereinfache

40 - \frac{152}{3} : - \frac{32}{3}

= - \frac{32}{3}

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