integral from-1 to 1 of 1/(x-2)

Lösung

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

- ln (3)

Dezimale

- 1.09861 \dots

Schritte zur Lösung

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

Wende U-Substitution an

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

Nutze das gemeinsame Integral :

\int \frac{1}{u} d u = ln (∣ u ∣)

= [ln ∣ u ∣]_{- 3}^{- 1}

Berechne die Grenzen:

- ln (3)

= - ln (3)

\int_{1}^{2} 4 x^{3} + 3 x^{2} + 4 x + 2 d x

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