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Beliebt Rechnen >

integral from 0 to 4 of 1/(x+2)

Lösung

\int_{0}^{4} \frac{1}{x + 2} d x

Lösung

ln (3)

+1

Dezimale

1.09861 \dots

Schritte zur Lösung

\int_{0}^{4} \frac{1}{x + 2} d x

Wende U-Substitution an

= \int_{2}^{6} \frac{1}{u} d u

Nutze das gemeinsame Integral :

\int \frac{1}{u} d u = ln (∣ u ∣)

= [ln ∣ u ∣]_{2}^{6}

Berechne die Grenzen:

ln (6) - ln (2)

= ln (6) - ln (2)

Vereinfache

= ln (3)

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-2(dy)/(dx)+2y=0

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + 2 y = 0

integral of (2z)/(1-z^2)

\int \frac{2 z}{1 - z ^{2}} d z

limit as x approaches 0+of 4/(x^2)

x \to 0 + lim (\frac{4}{x ^{2}})

integral of 2xy^3z^4

\int 2 x y^{3} z^{4} d x

integral of (y-2)/(y+3)

\int \frac{y - 2}{y + 3} d y