What is the integral of (In(Inx))/x ?

The integral of (In(Inx))/x is I^2n^2x+C

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integral of (In(Inx))/x

\int \frac{I n ( I n x )}{x} d x

I^{2} n^{2} x + C

Solution steps

\int \frac{I n I n x}{x} d x

Simplify

\frac{II nn x}{x} : I^{2} n^{2}

= \int I^{2} n^{2} d x

Integral of a constant:

\int a d x = a x

= I^{2} n^{2} x

Add a constant to the solution

= I^{2} n^{2} x + C

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