What is the integral of (ln(n^4))/n ?

The integral of (ln(n^4))/n is 4/n xln(n)+C

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integral of (ln(n^4))/n

\int \frac{ln ( n ^{4} )}{n}

\frac{4}{n} x ln (n) + C

Solution steps

\int \frac{ln ( n ^{4} )}{n} d x

Integral of a constant:

\int a d x = a x

= \frac{ln ( n ^{4} )}{n} x

Simplify

\frac{ln ( n ^{4} )}{n} x : \frac{4}{n} x ln (n)

= \frac{4}{n} x ln (n)

Add a constant to the solution

= \frac{4}{n} x ln (n) + C

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What is the integral of (ln(n^4))/n ?
The integral of (ln(n^4))/n is 4/n xln(n)+C