What is the integral of (ln(x))/(x^{16)} ?

The integral of (ln(x))/(x^{16)} is -(ln(x))/(15x^{15)}-1/(225x^{15)}+C

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integral of (ln(x))/(x^{16)}

\int \frac{ln ( x )}{x ^{16}} d x

- \frac{ln ( x )}{15 x ^{15}} - \frac{1}{225 x ^{15}} + C

Solution steps

\int \frac{ln ( x )}{x ^{16}} d x

Apply Integration By Parts

: - \frac{ln ( x )}{15 x ^{15}} - \int - \frac{1}{15 x ^{16}} d x

= - \frac{ln ( x )}{15 x ^{15}} - \int - \frac{1}{15 x ^{16}} d x

\int - \frac{1}{15 x ^{16}} d x = \frac{1}{225 x ^{15}}

= - \frac{ln ( x )}{15 x ^{15}} - \frac{1}{225 x ^{15}}

Add a constant to the solution

= - \frac{ln ( x )}{15 x ^{15}} - \frac{1}{225 x ^{15}} + C

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What is the integral of (ln(x))/(x^{16)} ?
The integral of (ln(x))/(x^{16)} is -(ln(x))/(15x^{15)}-1/(225x^{15)}+C