# Math Help - Ln: Integral

1. ## Ln: Integral

Calculate :

2. Split the integrals into:
$\int \frac{2}{x}\ln{(x)}~dx + \int \frac{1}{2}(\ln{(x)})^2~dx$

First integral is dealt with by the substitution $u = \ln{x}$

$\int \frac{1}{2}(\ln{(x)})^2~dx = \int \frac{1}{2}(x)'(\ln{(x)})^2~dx$

Second integral requires the use of integration by parts with $u = (\ln{(x)})^2$ and $v = x$