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Beliebt Rechnen >

integral from 1 to 3 of ((3x^2-7))/(x^3)

Lösung

\int_{1}^{3} \frac{( 3 x ^{2} - 7 )}{x ^{3}} d x

Lösung

3 ln (3) - \frac{28}{9}

+1

Dezimale

0.18472 \dots

Schritte zur Lösung

\int_{1}^{3} \frac{3 x ^{2} - 7}{x ^{3}} d x

Multipliziere aus

\frac{3 x ^{2} - 7}{x ^{3}} : \frac{3}{x} - \frac{7}{x ^{3}}

= \int_{1}^{3} \frac{3}{x} - \frac{7}{x ^{3}} 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}^{3} \frac{3}{x} d x - \int_{1}^{3} \frac{7}{x ^{3}} d x

\int_{1}^{3} \frac{3}{x} d x = 3 ln (3)

\int_{1}^{3} \frac{7}{x ^{3}} d x = \frac{28}{9}

= 3 ln (3) - \frac{28}{9}

Graph

Beliebte Beispiele

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