integral from 1 to 3 of (e^xln(x))

Lösung

\int_{1}^{3} (e^{x} ln (x)) d x

e^{3} ln (3) - Ei (3) + Ei (1)

Schritte zur Lösung

\int_{1}^{3} e^{x} ln (x) d x

Wende die partielle Integration an

= [e^{x} ln (x) - \int \frac{e ^{x}}{x} d x]_{1}^{3}

\int \frac{e ^{x}}{x} d x = Ei (x)

= [e^{x} ln (x) - Ei (x)]_{1}^{3}

Berechne die Grenzen:

e^{3} ln (3) - Ei (3) + Ei (1)

= e^{3} ln (3) - Ei (3) + Ei (1)

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