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Beliebt Rechnen >

integral of x^{100}ln(x)

Lösung

\int x^{100} ln (x) d x

Lösung

\frac{1}{101} x^{101} ln (x) - \frac{x ^{101}}{10201} + C

Schritte zur Lösung

\int x^{100} ln (x) d x

Wende die partielle Integration an

= \frac{1}{101} x^{101} ln (x) - \int \frac{x ^{100}}{101} d x

\int \frac{x ^{100}}{101} d x = \frac{x ^{101}}{10201}

= \frac{1}{101} x^{101} ln (x) - \frac{x ^{101}}{10201}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{101} x^{101} ln (x) - \frac{x ^{101}}{10201} + C

Graph

Beliebte Beispiele

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\int tanh (\frac{2 x}{3}) d x

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