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Beliebt Rechnen >

integral from 0 to x of ln(x)

Lösung

\int_{0}^{x} ln (x) d x

Lösung

x ln (x) - x

Schritte zur Lösung

\int_{0}^{x} ln (x) d x

Wende die partielle Integration an

= [x ln (x) - \int 1 d x]_{0}^{x}

\int 1 d x = x

= [x ln (x) - x]_{0}^{x}

Berechne die Grenzen:

x ln (x) - x

= x ln (x) - x

Beliebte Beispiele

(d^2)/(dx^2)(x^3+3x^2-2x+8)

\frac{d ^{2}}{d x ^{2}} (x^{3} + 3 x^{2} - 2 x + 8)

(dy)/(dx)= x/y ,y(1)=2

\frac{d y}{d x} = \frac{x}{y}, y (1) = 2

derivative (24)/(x^5)

d er i v a t i v e \frac{24}{x ^{5}}

derivative x/2-1

d er i v a t i v e \frac{x}{2} - 1

(\partial)/(\partial x)(4-|x|-|y|)

\frac{\partial}{\partial x} (4 - ∣ x ∣ - ∣ y ∣)