integral from 5 to 8 of 1/(x-4)

Lösung

\int_{5}^{8} \frac{1}{x - 4} d x

2 ln (2)

Dezimale

1.38629 \dots

Schritte zur Lösung

\int_{5}^{8} \frac{1}{x - 4} d x

Wende U-Substitution an

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

Nutze das gemeinsame Integral :

\int \frac{1}{u} d u = ln (∣ u ∣)

= [ln ∣ u ∣]_{1}^{4}

Berechne die Grenzen:

2 ln (2)

= 2 ln (2)

\int_{0}^{- 2} 4 - x^{2} d x

\int_{6}^{11} 10 x e^{- 0.2 x} d x

\int_{0}^{2} (2 x - 9) (8 x^{2} + 4) d x

\int_{x^{2}}^{x} (1 + 2 y) d y

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