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Beliebt Rechnen >

integral of 2*ln(x)

Lösung

\int 2 \cdot ln (x) d x

Lösung

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

Schritte zur Lösung

\int 2 ln (x) d x

Entferne die Konstante:

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

= 2 \cdot \int ln (x) d x

Wende die partielle Integration an

= 2 (x ln (x) - \int 1 d x)

\int 1 d x = x

= 2 (x ln (x) - x)

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral from 0 to 2 of x^2-2x

\int_{0}^{2} x^{2} - 2 x d x

inverselaplace 1/((s-4)(s-5))

in v erse l a pl a ce \frac{1}{( s - 4 ) ( s - 5 )}

(\partial)/(\partial x)(9y)

\frac{\partial}{\partial x} (9 y)

derivative of bx^2

\frac{d}{d x} (b x^{2})

derivative of (2x+6^2)

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