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Beliebt Rechnen >

integral from 0 to 1 of xln(x^2)

Lösung

\int_{0}^{1} x ln (x^{2}) d x

Lösung

- \frac{1}{2}

+1

Dezimale

- 0.5

Schritte zur Lösung

\int_{0}^{1} x ln (x^{2}) d x

Wende die partielle Integration an

= [\frac{1}{2} x^{2} ln (x^{2}) - \int x d x]_{0}^{1}

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

= [\frac{1}{2} x^{2} ln (x^{2}) - \frac{x ^{2}}{2}]_{0}^{1}

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

= [x^{2} ln (x) - \frac{x ^{2}}{2}]_{0}^{1}

Berechne die Grenzen:

- \frac{1}{2}

= - \frac{1}{2}

Graph

Beliebte Beispiele

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\int_{1}^{9} \frac{e ^{\frac{9}{x}}}{x ^{2}} d x