I have

$$ \int\limits_a^b v' dx = A $$

$$ \int u'dx = u $$

That is I have the definite integral of $v'$ and the indefinite integral of $u'$. $v$ is unknown.

I want to evaluate by integration by parts:

$$ \int\limits_a^b u v'dx = ? $$

  • $\begingroup$ This will not be possible in general. $\endgroup$
    – Peter
    Oct 20 '16 at 21:01

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