integral from 5 to 6 of (5/(x^2)-1)

Lösung

\int_{5}^{6} (\frac{5}{x ^{2}} - 1) d x

- \frac{5}{6}

Dezimale

- 0.83333 \dots

Schritte zur Lösung

\int_{5}^{6} \frac{5}{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_{5}^{6} \frac{5}{x ^{2}} d x - \int_{5}^{6} 1 d x

\int_{5}^{6} \frac{5}{x ^{2}} d x = \frac{1}{6}

\int_{5}^{6} 1 d x = 1

= \frac{1}{6} - 1

Vereinfache

\frac{1}{6} - 1 : - \frac{5}{6}

= - \frac{5}{6}

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