integral from 3 to 4 of xln(x)

Lösung

\int_{3}^{4} x ln (x) d x

16 ln (2) - \frac{7}{4} - \frac{9}{2} ln (3)

Dezimale

4.39659 \dots

Schritte zur Lösung

\int_{3}^{4} x ln (x) d x

Wende die partielle Integration an

= [\frac{1}{2} x^{2} ln (x) - \int \frac{x}{2} d x]_{3}^{4}

\int \frac{x}{2} d x = \frac{x ^{2}}{4}

= [\frac{1}{2} x^{2} ln (x) - \frac{x ^{2}}{4}]_{3}^{4}

Berechne die Grenzen:

16 ln (2) - \frac{7}{4} - \frac{9}{2} ln (3)

= 16 ln (2) - \frac{7}{4} - \frac{9}{2} ln (3)

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