integral from 1 to 2 of (1+ln(x))x^x

Lösung

\int_{1}^{2} (1 + ln (x)) x^{x} d x

3

Schritte zur Lösung

\int_{1}^{2} (1 + ln (x)) x^{x} d x

Wende U-Substitution an

= \int_{1}^{4} 1 d u

Integral einer Konstanten :

\int a d x = a x

= [1 \cdot u]_{1}^{4}

Vereinfache

= [u]_{1}^{4}

Berechne die Grenzen:

3

= 3

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