integral from 1 to 8 of (x^2-1)

Lösung

\int_{1}^{8} (x^{2} - 1) d x

\frac{490}{3}

Dezimale

163.33333 \dots

Schritte zur Lösung

\int_{1}^{8} x^{2} - 1 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_{1}^{8} x^{2} d x - \int_{1}^{8} 1 d x

\int_{1}^{8} x^{2} d x = \frac{511}{3}

\int_{1}^{8} 1 d x = 7

= \frac{511}{3} - 7

Vereinfache

\frac{511}{3} - 7 : \frac{490}{3}

= \frac{490}{3}

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