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Beliebt Rechnen >

integral of 2ln(x)

Lösung

\int 2 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 of (sin(5x))

\int (sin (5 x)) d x

integral of 9(tan(x))(ln(cos(x)))

\int 9 (tan (x)) (ln (cos (x))) d x

tangent f(x)=8xtan(x),\at x=pi

t an g e n t f (x) = 8 x tan (x), at x = π

f (x) = 3 - x

4y^{''}-20y^'+25y=0

4 y^{^{''}} - 20 y^{^{'}} + 25 y = 0