integral from 4 to 6 of x^2+2x-8

Lösung

\int_{4}^{6} x^{2} + 2 x - 8 d x

\frac{164}{3}

Dezimale

54.66666 \dots

Schritte zur Lösung

\int_{4}^{6} x^{2} + 2 x - 8 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} x^{2} d x + \int_{4}^{6} 2 x d x - \int_{4}^{6} 8 d x

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

\int_{4}^{6} 2 x d x = 20

\int_{4}^{6} 8 d x = 16

= \frac{152}{3} + 20 - 16

Vereinfache

\frac{152}{3} + 20 - 16 : \frac{164}{3}

= \frac{164}{3}

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