What is the integral of (ln(x))/(x^{12)} ?

The integral of (ln(x))/(x^{12)} is -(ln(x))/(11x^{11)}-1/(121x^{11)}+C

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integral of (ln(x))/(x^{12)}

\int \frac{ln ( x )}{x ^{12}} d x

- \frac{ln ( x )}{11 x ^{11}} - \frac{1}{121 x ^{11}} + C

Solution steps

\int \frac{ln ( x )}{x ^{12}} d x

Apply Integration By Parts

= - \frac{ln ( x )}{11 x ^{11}} - \int - \frac{1}{11 x ^{12}} d x

\int - \frac{1}{11 x ^{12}} d x = \frac{1}{121 x ^{11}}

= - \frac{ln ( x )}{11 x ^{11}} - \frac{1}{121 x ^{11}}

Add a constant to the solution

= - \frac{ln ( x )}{11 x ^{11}} - \frac{1}{121 x ^{11}} + C

What is the integral of (ln(x))/(x^{12)} ?
The integral of (ln(x))/(x^{12)} is -(ln(x))/(11x^{11)}-1/(121x^{11)}+C