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Popular >

integral of (ln(x))/(x^{20)}

Solution

\int \frac{ln ( x )}{x ^{20}} d x

Solution

- \frac{ln ( x )}{19 x ^{19}} - \frac{1}{361 x ^{19}} + C

Solution steps

\int \frac{ln ( x )}{x ^{20}} d x

Apply Integration By Parts

: - \frac{ln ( x )}{19 x ^{19}} - \int - \frac{1}{19 x ^{20}} d x

= - \frac{ln ( x )}{19 x ^{19}} - \int - \frac{1}{19 x ^{20}} d x

\int - \frac{1}{19 x ^{20}} d x = \frac{1}{361 x ^{19}}

= - \frac{ln ( x )}{19 x ^{19}} - \frac{1}{361 x ^{19}}

Add a constant to the solution

= - \frac{ln ( x )}{19 x ^{19}} - \frac{1}{361 x ^{19}} + C

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\int \frac{6}{x ( x ^{2} + 3 ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of (ln(x))/(x^{20)} ?
The integral of (ln(x))/(x^{20)} is -(ln(x))/(19x^{19)}-1/(361x^{19)}+C