To integrate this function, we must first recognise that ln(x) can be treated as 1 multiplied by ln(x). Using this knowledge, we can apply the 'integration by parts method' to integrate the function.Formula: I(u.v') = (u.v) - I(u'.v)Using this formula, treating 1 as v' and ln(x) as u in the function to be integrated, we obtain the indefinite integral result of x.ln(x) - x.