Integrate ln(x/7) with respect to x

Firstly split up the ln(x/7) = ln(x) - ln(7) using rules of logarithms learnt in your first year of A-levels, as this will reduce any likely error.Secondly, recognise that the -ln(7) term is constant, and so just integrates into -xln(7).The ln(x) term can be integrated by parts, taking u = ln(x) u' = 1/x v' = 1 v= x. The answer you will obtain is xln(x/7) - x + c.