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Beliebt Rechnen >

integral from 2 to 6 of ln(5x)

Lösung

\int_{2}^{6} ln (5 x) d x

Lösung

2 ln (2700) - 4

+1

Dezimale

11.80201 \dots

Schritte zur Lösung

\int_{2}^{6} ln (5 x) d x

Wende die partielle Integration an

= [x ln (5 x) - \int 1 d x]_{2}^{6}

\int 1 d x = x

= [x ln (5 x) - x]_{2}^{6}

Berechne die Grenzen:

6 ln (30) - 4 - 2 ln (10)

= 6 ln (30) - 4 - 2 ln (10)

Vereinfache

= 2 ln (2700) - 4

Graph

Beliebte Beispiele

integral of 2xln(x^2+5)

\int 2 x ln (x^{2} + 5) d x

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derivative (x^2+2x-3)/((x+1)^2)

d er i v a t i v e \frac{x ^{2} + 2 x - 3}{( x + 1 ) ^{2}}

normal f(x)= x/(1+x^2),\at x=2

n or ma l f (x) = \frac{x}{1 + x ^{2}}, at x = 2

derivative of 1-2x-x^2

\frac{d}{d x} (1 - 2 x - x^{2})