integral from 4 to 8 of (x^2)/2-8x+30

Lösung

\int_{4}^{8} \frac{x ^{2}}{2} - 8 x + 30 d x

\frac{8}{3}

Dezimale

2.66666 \dots

Schritte zur Lösung

\int_{4}^{8} \frac{x ^{2}}{2} - 8 x + 30 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}^{8} \frac{x ^{2}}{2} d x - \int_{4}^{8} 8 x d x + \int_{4}^{8} 30 d x

\int_{4}^{8} \frac{x ^{2}}{2} d x = \frac{224}{3}

\int_{4}^{8} 8 x d x = 192

\int_{4}^{8} 30 d x = 120

= \frac{224}{3} - 192 + 120

Vereinfache

\frac{224}{3} - 192 + 120 : \frac{8}{3}

= \frac{8}{3}

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