What is the integral of (ln(x))/(x^{14)} ?

The integral of (ln(x))/(x^{14)} is -(ln(x))/(13x^{13)}-1/(169x^{13)}+C

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

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

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

Solution steps

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

Apply Integration By Parts

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

= - \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}}

Add a constant to the solution

= - \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}))

What is the integral of (ln(x))/(x^{14)} ?
The integral of (ln(x))/(x^{14)} is -(ln(x))/(13x^{13)}-1/(169x^{13)}+C