integral of (ln(x))/(x^{14)}

Lösung

\int \frac{ln ( x )}{x ^{14}} d x

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

Schritte zur Lösung

\int \frac{ln ( x )}{x ^{14}} d x

Wende die partielle Integration an

= - \frac{ln ( x )}{13 x ^{13}} - \int - \frac{1}{13 x ^{14}} d x

\int - \frac{1}{13 x ^{14}} d x = \frac{1}{169 x ^{13}}

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

Füge eine Konstante zur Lösung hinzu

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

\int (1 + sin (θ))^{2} d θ

x \to - 2 + lim (x^{2} - 5)

y^{^{''}} + y^{^{'}} + 2 y = 0, y (0) = 0, y^{^{'}} (0) = 0

\int_{0}^{π} e^{- x} cos (2 x) d x

\frac{\partial}{\partial y} (ln (x + e^{- y}))