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Beliebt Rechnen >

integral of x^2ln(7x)

Lösung

\int x^{2} ln (7 x) d x

Lösung

\frac{1}{3} x^{3} ln (7 x) - \frac{x ^{3}}{9} + C

Schritte zur Lösung

\int x^{2} ln (7 x) d x

Wende die partielle Integration an

= \frac{1}{3} x^{3} ln (7 x) - \int \frac{x ^{2}}{3} d x

\int \frac{x ^{2}}{3} d x = \frac{x ^{3}}{9}

= \frac{1}{3} x^{3} ln (7 x) - \frac{x ^{3}}{9}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{3} x^{3} ln (7 x) - \frac{x ^{3}}{9} + C

Graph

Beliebte Beispiele

integral of 4/5-7/x

\int \frac{4}{5} - \frac{7}{x} d x

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d er i v a t i v e e^{x} (x^{2} + 1)

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\frac{d}{d x} (\frac{e ^{x}}{1 - e ^{- x}})

(\partial)/(\partial y)(ln(x-8y))

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limit as x approaches 6 of 5

x \to 6 lim (5)