What is the integral of (ln(x))/(x^{15)} ?

The integral of (ln(x))/(x^{15)} is -(ln(x))/(14x^{14)}-1/(196x^{14)}+C

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integral of (ln(x))/(x^{15)}

\int \frac{ln ( x )}{x ^{15}} d x

- \frac{ln ( x )}{14 x ^{14}} - \frac{1}{196 x ^{14}} + C

Solution steps

\int \frac{ln ( x )}{x ^{15}} d x

Apply Integration By Parts

= - \frac{ln ( x )}{14 x ^{14}} - \int - \frac{1}{14 x ^{15}} d x

\int - \frac{1}{14 x ^{15}} d x = \frac{1}{196 x ^{14}}

= - \frac{ln ( x )}{14 x ^{14}} - \frac{1}{196 x ^{14}}

Add a constant to the solution

= - \frac{ln ( x )}{14 x ^{14}} - \frac{1}{196 x ^{14}} + C

\frac{\partial}{\partial x} (9 x^{2 y})

t an g e n t x^{4} + 9 x^{2} - x

t an g e n t \frac{x ^{3}}{3} + 2 x^{2} + 4 x - 1

t a y l or \frac{lo g _{10} ( 2 - x )}{x + 3}

\frac{d}{d x} ((4 x - 5)^{2})

What is the integral of (ln(x))/(x^{15)} ?
The integral of (ln(x))/(x^{15)} is -(ln(x))/(14x^{14)}-1/(196x^{14)}+C