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Beliebt Rechnen >

integral of x^{12}ln(x)

Lösung

\int x^{12} ln (x) d x

Lösung

\frac{1}{13} x^{13} ln (x) - \frac{x ^{13}}{169} + C

Schritte zur Lösung

\int x^{12} ln (x) d x

Wende die partielle Integration an

= \frac{1}{13} x^{13} ln (x) - \int \frac{x ^{12}}{13} d x

\int \frac{x ^{12}}{13} d x = \frac{x ^{13}}{169}

= \frac{1}{13} x^{13} ln (x) - \frac{x ^{13}}{169}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{13} x^{13} ln (x) - \frac{x ^{13}}{169} + C

Graph

Beliebte Beispiele

(d^2y)/(dt^2)+3(dy)/(dt)+2y=0

\frac{d ^{2} y}{d t ^{2}} + 3 \frac{d y}{d t} + 2 y = 0

integral of (2+tan(x))^2

\int (2 + tan (x))^{2} d x

f (x) = 4 sec^{2} (x)

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d er i v a t i v e f (x) = 5 x 1 - x^{3}

derivative of (7x+8/(4x+8))

\frac{d}{d x} (\frac{7 x + 8}{4 x + 8})