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Beliebt Rechnen >

integral from 1 to 2 of ((8-x^2))/(x^3)

Lösung

\int_{1}^{2} \frac{( 8 - x ^{2} )}{x ^{3}} d x

Lösung

3 - ln (2)

+1

Dezimale

2.30685 \dots

Schritte zur Lösung

\int_{1}^{2} \frac{8 - x ^{2}}{x ^{3}} d x

Multipliziere aus

\frac{8 - x ^{2}}{x ^{3}} : \frac{8}{x ^{3}} - \frac{1}{x}

= \int_{1}^{2} \frac{8}{x ^{3}} - \frac{1}{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}^{2} \frac{8}{x ^{3}} d x - \int_{1}^{2} \frac{1}{x} d x

\int_{1}^{2} \frac{8}{x ^{3}} d x = 3

\int_{1}^{2} \frac{1}{x} d x = ln (2)

= 3 - ln (2)

Graph

Beliebte Beispiele

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