What is the anti derivative `int ln x dx` ?
1 Answer | Add Yours
The integral `int ln x dx` has to be derived.
Use integration by parts which gives `int u dv = u*v - int v du`
let `u = ln x => du = (1/x)*dx`
and `dv = dx => v = x`
`int ln x dx`
=> `x*ln - int x*(1/x)*dx`
=> `x*ln - int 1 dx`
=> `x*ln x - x`
The integral `int ln x dx = x*ln x - x + C`
Join to answer this question
Join a community of thousands of dedicated teachers and students.Join eNotes