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Beliebt Rechnen >

integral from 7 to 8 of (7/(x^2)-1)

Lösung

\int_{7}^{8} (\frac{7}{x ^{2}} - 1) d x

Lösung

- \frac{7}{8}

+1

Dezimale

- 0.875

Schritte zur Lösung

\int_{7}^{8} \frac{7}{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_{7}^{8} \frac{7}{x ^{2}} d x - \int_{7}^{8} 1 d x

\int_{7}^{8} \frac{7}{x ^{2}} d x = \frac{1}{8}

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

= \frac{1}{8} - 1

Vereinfache

\frac{1}{8} - 1 : - \frac{7}{8}

= - \frac{7}{8}

Graph

Beliebte Beispiele

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