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

Lösung

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

\frac{35}{12} - 5 ln (6)

Dezimale

- 6.04213 \dots

Schritte zur Lösung

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

\int_{1}^{6} \frac{x}{6} d x = \frac{35}{12}

\int_{1}^{6} \frac{5}{x} d x = 5 ln (6)

= \frac{35}{12} - 5 ln (6)

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