So I got this math problem, and I have to find out if it is convergent or divergent. If it converges the I have to solve it.
$$\int_0^{1}\frac{1}{x\ln(x)}dx$$
I know that I have to split it up, so here is how I did it:
$$\int_0^{\frac{1}{2}}\frac{1}{x\ln(x)}dx+\int_\frac{1}{2}^{1}\frac{1}{x\ln(x)}dx$$
Is this correct?