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Beliebt Rechnen >

integral from-6 to-10 of 1/((x+2))

Lösung

\int_{- 6}^{- 10} \frac{1}{( x + 2 )} d x

Lösung

ln (2)

+1

Dezimale

0.69314 \dots

Schritte zur Lösung

\int_{- 6}^{- 10} \frac{1}{x + 2} d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{- 10}^{- 6} \frac{1}{x + 2} d x

Wende U-Substitution an

= - \int_{- 8}^{- 4} \frac{1}{u} d u

Nutze das gemeinsame Integral :

\int \frac{1}{u} d u = ln (∣ u ∣)

= - [ln ∣ u ∣]_{- 8}^{- 4}

Berechne die Grenzen:

- ln (2)

= - (- ln (2))

Vereinfache

= ln (2)

Graph

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