# What is the integration of 1/x log x ?

## Solution :

We have, I = $$\int$$ $$1\over x log x$$ dx

Put log x = t $$\implies$$ $$1\over x$$ dx = dt

I = $$\int$$  $$1\over t$$ dt

I = log | t | + C

I = log |log x| + C

Hence, the integration of $$1\over x log x$$ is log (log x) + C

### Similar Questions

What is the integration of log cos x dx ?

What is the integration of log 1/x ?

What is the integration of $$(log x)^2$$ dx ?

What is the integration of x log x dx ?