integral of x^7ln(5x)

Lösung

\int x^{7} ln (5 x) d x

\frac{1}{8} x^{8} ln (5 x) - \frac{x ^{8}}{64} + C

Schritte zur Lösung

\int x^{7} ln (5 x) d x

Wende die partielle Integration an

= \frac{1}{8} x^{8} ln (5 x) - \int \frac{x ^{7}}{8} d x

\int \frac{x ^{7}}{8} d x = \frac{x ^{8}}{64}

= \frac{1}{8} x^{8} ln (5 x) - \frac{x ^{8}}{64}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{8} x^{8} ln (5 x) - \frac{x ^{8}}{64} + C

\int \frac{x ^{4}}{x ^{3} - 1} d x

\int_{- π}^{π} sin (n x) d x

l a pl a ce t r an s f or m e^{t} (t + 5)^{3}

\frac{\partial ^{2}}{\partial h ( w ) \partial w} (\frac{w}{h ( w ) ( w ) ^{2}})

in v erse l a pl a ce \frac{5 e ^{- s}}{4 s ^{2} + 36}