To show:
Set u(t) = f''(t)
Set dv = (x-t)dt
Then v = and
= =
I am working through the proof of taylor's theorem going from this step:
to this step:
for the integral in the first equation I have
so for uv I get the 0.5*(x-a)^2*f''(a) just fine.
but for integral of u'v I get:
and if i integrate and evaluate the extra term, it does not seem to help.
Which step/s are incorrect?