What is the integral of (ln(x))/(x^{18)} ?

The integral of (ln(x))/(x^{18)} is -(ln(x))/(17x^{17)}-1/(289x^{17)}+C

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integral of (ln(x))/(x^{18)}

\int \frac{ln ( x )}{x ^{18}} d x

- \frac{ln ( x )}{17 x ^{17}} - \frac{1}{289 x ^{17}} + C

Solution steps

\int \frac{ln ( x )}{x ^{18}} d x

Apply Integration By Parts

: - \frac{ln ( x )}{17 x ^{17}} - \int - \frac{1}{17 x ^{18}} d x

= - \frac{ln ( x )}{17 x ^{17}} - \int - \frac{1}{17 x ^{18}} d x

\int - \frac{1}{17 x ^{18}} d x = \frac{1}{289 x ^{17}}

= - \frac{ln ( x )}{17 x ^{17}} - \frac{1}{289 x ^{17}}

Add a constant to the solution

= - \frac{ln ( x )}{17 x ^{17}} - \frac{1}{289 x ^{17}} + C

\int (x^{2} + 2) d x

\frac{\partial}{\partial y} (- cos (x y))

x \to 0 lim ((e^{x} - 1) ln (x))

\frac{d y}{d x} = (x y)^{\frac{1}{3}}

1, cos^{2} (x), [0, π]

What is the integral of (ln(x))/(x^{18)} ?
The integral of (ln(x))/(x^{18)} is -(ln(x))/(17x^{17)}-1/(289x^{17)}+C