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Homework Statement
Using integration by parts, integrate:
(1/x^2)(lnx) dx with the limits e and 1
Homework Equations
[uv]to the limits a b - the integral of (v)(du/dx) dx
(sorry, don't know how to write out equations properly on a computer)
The Attempt at a Solution
I've got u=x^-2 so du/dx= -2x^-3
dv/dx=lnx so v= x(lnx-1)
So putting this into the equation above:
[x^-2.x(lnx-1)] - the integral of (-2x^-3.x(lnx-1))
Is this right so far?
If so how do I integrate the last part? Do I do it sepeartley or by parts again?
Many Thanks, any help at all would be greatly appreciated.