What is the integral of (ln(x))/(x^7) ?

The integral of (ln(x))/(x^7) is -(ln(x))/(6x^6)-1/(36x^6)+C

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integral of (ln(x))/(x^7)

\int \frac{ln ( x )}{x ^{7}} d x

- \frac{ln ( x )}{6 x ^{6}} - \frac{1}{36 x ^{6}} + C

Solution steps

\int \frac{ln ( x )}{x ^{7}} d x

Apply Integration By Parts

: - \frac{ln ( x )}{6 x ^{6}} - \int - \frac{1}{6 x ^{7}} d x

= - \frac{ln ( x )}{6 x ^{6}} - \int - \frac{1}{6 x ^{7}} d x

\int - \frac{1}{6 x ^{7}} d x = \frac{1}{36 x ^{6}}

= - \frac{ln ( x )}{6 x ^{6}} - \frac{1}{36 x ^{6}}

Add a constant to the solution

= - \frac{ln ( x )}{6 x ^{6}} - \frac{1}{36 x ^{6}} + C

y^{^{''}} - y^{^{'}} - 2 y = - 8 t + 6 t^{2}

x \to 2 - lim (\frac{3 x + 5}{x - 2})

\int \frac{2 t}{1 + t ^{2}} d t

y = - 2 x^{2} + 20, y = 3 x - 15

f (x) = x^{7} - 1 (x)

What is the integral of (ln(x))/(x^7) ?
The integral of (ln(x))/(x^7) is -(ln(x))/(6x^6)-1/(36x^6)+C