integral from 0 to 8 of (x^2-5)

Lösung

\int_{0}^{8} (x^{2} - 5) d x

\frac{392}{3}

Dezimale

130.66666 \dots

Schritte zur Lösung

\int_{0}^{8} x^{2} - 5 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_{0}^{8} x^{2} d x - \int_{0}^{8} 5 d x

\int_{0}^{8} x^{2} d x = \frac{512}{3}

\int_{0}^{8} 5 d x = 40

= \frac{512}{3} - 40

Vereinfache

\frac{512}{3} - 40 : \frac{392}{3}

= \frac{392}{3}

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