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Beliebt Rechnen >

integral from 2 to x of ln(t)

Lösung

\int_{2}^{x} ln (t) d t

Lösung

x ln (x) - x - 2 ln (2) + 2

Schritte zur Lösung

\int_{2}^{x} ln (t) d t

Wende die partielle Integration an

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

\int 1 d t = t

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

Berechne die Grenzen:

x ln (x) - x - 2 ln (2) + 2

= x ln (x) - x - 2 ln (2) + 2

Beliebte Beispiele

fläche x=2y-y^2,x=y^2-4y

a re a x = 2 y - y^{2}, x = y^{2} - 4 y

fläche x^2-x,x=4

a re a x^{2} - x, x = 4

derivative of 2cos(2x-1)

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

limit as x approaches 4 of sqrt(x)-x^2

x \to 4 lim (x - x^{2})

d/(dy)(4arctan(x/y))

\frac{d}{d y} (4 arctan (\frac{x}{y}))