integral of p^2ln(p)

Lösung

\int p^{2} ln (p) d p

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

Schritte zur Lösung

\int p^{2} ln (p) d p

Wende die partielle Integration an

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

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

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

Füge eine Konstante zur Lösung hinzu

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

x \to 0 lim (x^{2} - 2 x)

\int \frac{x - 1}{( x ^{2} + 2 x + 3 ) ^{2}} d x

f (x) = x - 6 3 x

t an g e n t f (x) = \frac{1}{x}, at x = 0.501

\int 4 x + 4 sin (x) d x