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Beliebt Rechnen >

integral of p^3ln(p)

Lösung

\int p^{3} ln (p) d p

Lösung

\frac{1}{4} p^{4} ln (p) - \frac{p ^{4}}{16} + C

Schritte zur Lösung

\int p^{3} ln (p) d p

Wende die partielle Integration an

= \frac{1}{4} p^{4} ln (p) - \int \frac{p ^{3}}{4} d p

\int \frac{p ^{3}}{4} d p = \frac{p ^{4}}{16}

= \frac{1}{4} p^{4} ln (p) - \frac{p ^{4}}{16}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{4} p^{4} ln (p) - \frac{p ^{4}}{16} + C

Graph

Beliebte Beispiele

fläche y=x^4,y=x^2

a re a y = x^{4}, y = x^{2}

limit as x approaches 4-of (4x)/(x-4)

x \to 4 - lim (\frac{4 x}{x - 4})

derivative of x/y+y/x

\frac{d}{d x} (\frac{x}{y} + \frac{y}{x})

integral from 2 to 4 of (x^2+2)^3

\int_{2}^{4} (x^{2} + 2)^{3} d x

y^{''}+y=t,y(0)=1,y(1)=-2

y^{^{''}} + y = t, y (0) = 1, y (1) = - 2