integral from 0 to 1 of 6ln(x)

Lösung

\int_{0}^{1} 6 ln (x) d x

- 6

Schritte zur Lösung

\int_{0}^{1} 6 ln (x) d x

Entferne die Konstante:

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

= 6 \cdot \int_{0}^{1} ln (x) d x

Wende die partielle Integration an

= 6 [x ln (x) - \int 1 d x]_{0}^{1}

\int 1 d x = x

= 6 [x ln (x) - x]_{0}^{1}

Berechne die Grenzen:

- 1

= 6 (- 1)

Vereinfache

= - 6