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Beliebt Rechnen >

integral from 1 to 4 of (u-2)/(sqrt(u))

Lösung

\int_{1}^{4} \frac{u - 2}{u} d u

Lösung

\frac{2}{3}

+1

Dezimale

0.66666 \dots

Schritte zur Lösung

\int_{1}^{4} \frac{u - 2}{u} d u

Multipliziere aus

\frac{u - 2}{u} : u - \frac{2}{u}

= \int_{1}^{4} u - \frac{2}{u} d u

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}^{4} u d u - \int_{1}^{4} \frac{2}{u} d u

\int_{1}^{4} u d u = \frac{14}{3}

\int_{1}^{4} \frac{2}{u} d u = 4

= \frac{14}{3} - 4

Vereinfache

\frac{14}{3} - 4 : \frac{2}{3}

= \frac{2}{3}

Graph

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