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Beliebt Rechnen >

integral of (ln(x))/2

Lösung

\int \frac{ln ( x )}{2} d x

Lösung

\frac{1}{2} (x ln (x) - x) + C

Schritte zur Lösung

\int \frac{ln ( x )}{2} d x

Entferne die Konstante:

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

= \frac{1}{2} \cdot \int ln (x) d x

Wende die partielle Integration an

= \frac{1}{2} (x ln (x) - \int 1 d x)

\int 1 d x = x

= \frac{1}{2} (x ln (x) - x)

Füge eine Konstante zur Lösung hinzu

= \frac{1}{2} (x ln (x) - x) + C

Graph

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\int e^{7 x + 5} d x