integral from 4 to 10 of x/4-4/x

Lösung

\int_{4}^{10} \frac{x}{4} - \frac{4}{x} d x

\frac{21}{2} - 4 ln (\frac{5}{2})

Dezimale

6.83483 \dots

Schritte zur Lösung

\int_{4}^{10} \frac{x}{4} - \frac{4}{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_{4}^{10} \frac{x}{4} d x - \int_{4}^{10} \frac{4}{x} d x

\int_{4}^{10} \frac{x}{4} d x = \frac{21}{2}

\int_{4}^{10} \frac{4}{x} d x = 4 ln (\frac{5}{2})

= \frac{21}{2} - 4 ln (\frac{5}{2})

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