Integration result varying in mathematica 5.2

[superkan619]

indefinite integral of Log[x] comes out to be
-x + x Log[x]

but, the general solution should be
x ln(x)+C

Such things also occur when using DSolve command to solve differential equations.
Please help!

 

[algebrat]

indefinite integral of Log[x] comes out to be
-x + x Log[x]

but, the general solution should be
x ln(x)+C

Such things also occur when using DSolve command to solve differential equations.
Please help!

Why is that the general solution? It's derivative is ln(x)+1, not ln(x).

 

[superkan619]

Thank you algebrat. I did some copy/paste job from y answers, but its incorrect...

The problem I actually had is this:
My book says Integrate[xˆ2 Log[x],x] will output -(x³/9)+((x³/3)Log(x))

but I am getting x² (-x + x Log[x])
Where have the constants gone?