What is the integral of (ln(x))/(x^{10)} ?

The integral of (ln(x))/(x^{10)} is -(ln(x))/(9x^9)-1/(81x^9)+C

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integral of (ln(x))/(x^{10)}

\int \frac{ln ( x )}{x ^{10}} d x

- \frac{ln ( x )}{9 x ^{9}} - \frac{1}{81 x ^{9}} + C

Solution steps

\int \frac{ln ( x )}{x ^{10}} d x

Apply Integration By Parts

: - \frac{ln ( x )}{9 x ^{9}} - \int - \frac{1}{9 x ^{10}} d x

= - \frac{ln ( x )}{9 x ^{9}} - \int - \frac{1}{9 x ^{10}} d x

\int - \frac{1}{9 x ^{10}} d x = \frac{1}{81 x ^{9}}

= - \frac{ln ( x )}{9 x ^{9}} - \frac{1}{81 x ^{9}}

Add a constant to the solution

= - \frac{ln ( x )}{9 x ^{9}} - \frac{1}{81 x ^{9}} + C

n = 3 \sum \infty cos (nπ)

1, 0 (1.0 3^{x})

\int_{1}^{3} (6 x^{2} - 4 x + 5) d x

\int \frac{1}{3 + tan ^{2} ( x )} d x

\int_{0}^{\infty} e^{3 x} d x

What is the integral of (ln(x))/(x^{10)} ?
The integral of (ln(x))/(x^{10)} is -(ln(x))/(9x^9)-1/(81x^9)+C