Formula to find integral of a function by parts.
∫udv = uv  ∫vdu
If you find integral of a function which contains lnx, you have to use the method integration by parts. And you have to consider lnx as u and the other part and dx together to be considered as dv.
Consider the following integral.
∫xlnxdx
The above integral can be written as
∫(lnx)(xdx)
Here, u = lnx and dv = xdx.
∫(lnx)(xdx) = uv  ∫vdu
Considering the stuff on the right side, we need to know u, v, dv and du.
u = lnx


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