Find the integral of y = f(x) = 2*lnx dx (2 multiply by lnx)

The integral of a constant times a function is the constant times the integral of the function:

Use integration by parts:

Let and let .

Then .

To find :

The integral of a constant is the constant times the variable of integration:

Now evaluate the sub-integral.

The integral of a constant is the constant times the variable of integration: