What is the integral of (ln(11x))/(x^9) ?

The integral of (ln(11x))/(x^9) is -(ln(11x))/(8x^8)-1/(64x^8)+C

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integral of (ln(11x))/(x^9)

\int \frac{ln ( 11 x )}{x ^{9}} d x

- \frac{ln ( 11 x )}{8 x ^{8}} - \frac{1}{64 x ^{8}} + C

Solution steps

\int \frac{ln ( 11 x )}{x ^{9}} d x

Apply Integration By Parts

: - \frac{ln ( 11 x )}{8 x ^{8}} - \int - \frac{1}{8 x ^{9}} d x

= - \frac{ln ( 11 x )}{8 x ^{8}} - \int - \frac{1}{8 x ^{9}} d x

\int - \frac{1}{8 x ^{9}} d x = \frac{1}{64 x ^{8}}

= - \frac{ln ( 11 x )}{8 x ^{8}} - \frac{1}{64 x ^{8}}

Add a constant to the solution

= - \frac{ln ( 11 x )}{8 x ^{8}} - \frac{1}{64 x ^{8}} + C

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What is the integral of (ln(11x))/(x^9) ?
The integral of (ln(11x))/(x^9) is -(ln(11x))/(8x^8)-1/(64x^8)+C