integral from-10 to-3 of 1/(x+2)

Lösung

\int_{- 10}^{- 3} \frac{1}{x + 2} d x

- 3 ln (2)

Dezimale

- 2.07944 \dots

Schritte zur Lösung

\int_{- 10}^{- 3} \frac{1}{x + 2} d x

Wende U-Substitution an

= \int_{- 8}^{- 1} \frac{1}{u} d u

Nutze das gemeinsame Integral :

\int \frac{1}{u} d u = ln (∣ u ∣)

= [ln ∣ u ∣]_{- 8}^{- 1}

Berechne die Grenzen:

- 3 ln (2)

= - 3 ln (2)

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