What is the integral of (ln(3x))/(x^{11)} ?

The integral of (ln(3x))/(x^{11)} is -(ln(3x))/(10x^{10)}-1/(100x^{10)}+C

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integral of (ln(3x))/(x^{11)}

\int \frac{ln ( 3 x )}{x ^{11}} d x

- \frac{ln ( 3 x )}{10 x ^{10}} - \frac{1}{100 x ^{10}} + C

Solution steps

\int \frac{ln ( 3 x )}{x ^{11}} d x

Apply Integration By Parts

: - \frac{ln ( 3 x )}{10 x ^{10}} - \int - \frac{1}{10 x ^{11}} d x

= - \frac{ln ( 3 x )}{10 x ^{10}} - \int - \frac{1}{10 x ^{11}} d x

\int - \frac{1}{10 x ^{11}} d x = \frac{1}{100 x ^{10}}

= - \frac{ln ( 3 x )}{10 x ^{10}} - \frac{1}{100 x ^{10}}

Add a constant to the solution

= - \frac{ln ( 3 x )}{10 x ^{10}} - \frac{1}{100 x ^{10}} + C

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What is the integral of (ln(3x))/(x^{11)} ?
The integral of (ln(3x))/(x^{11)} is -(ln(3x))/(10x^{10)}-1/(100x^{10)}+C