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Beliebt Rechnen >

integral from-2 to-1 of (u-1/(u^2))

Lösung

\int_{- 2}^{- 1} (u - \frac{1}{u ^{2}}) d u

Lösung

- 2

Schritte zur Lösung

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

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

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

= - \frac{3}{2} - \frac{1}{2}

Vereinfache

- \frac{3}{2} - \frac{1}{2} : - 2

= - 2

Graph

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