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Beliebt Rechnen >

integral from 1 to 5 of 6/x

Lösung

\int_{1}^{5} \frac{6}{x} d x

Lösung

6 ln (5)

+1

Dezimale

9.65662 \dots

Schritte zur Lösung

\int_{1}^{5} \frac{6}{x} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 6 \cdot \int_{1}^{5} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= 6 [ln ∣ x ∣]_{1}^{5}

Berechne die Grenzen:

ln (5)

= 6 ln (5)

Graph

Beliebte Beispiele

d/(d{x)}(({x})/(({x)^2+{y}^2+{z}^2)^{3/2}})

\frac{d}{d x} (\frac{x}{( x ^{2} + y ^{2} + z ^{2} ) ^{\frac{3}{2}}})

integral from 2 to 5 of x

\int_{2}^{5} x d x

sum from n=1 to infinity of ln(1)

n = 1 \sum \infty ln (1)

derivative of (x^2+x^6)

\frac{d}{d x} ((x^{2} + x)^{6})

fläche y=6-6x^2,y=0

a re a y = 6 - 6 x^{2}, y = 0