Integration By PartsYou are currentlynot logged in Click here to log in 

Integration by parts is a theorem that relates the integral of a product of functions to the integral of their derivative and antiderivative. It is frequently used to transform the antiderivative of a product of functions into an antiderivative for which a solution can be more easily found.
The rule can be derived in one line simply by integrating the product rule of differentiation.
If $u~=~u(x),$ $v~=~v(x),$ and the differentials $du~=~u'(x).dx$ and $dv~=~v'(x).dx,$ then integration by parts states that
or more compactly:
Again, using alternate notation:
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