What is the integral of (in(x))/x ?

The integral of (in(x))/x is inx+C

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integral of (in(x))/x

\int \frac{in ( x )}{x} d x

in x + C

Solution steps

\int \frac{in x}{x} d x

Cancel the common factor:

x

= \int in d x

Integral of a constant:

\int a d x = a x

= in x

Add a constant to the solution

= in x + C

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