Question: Symbolic Integaration

Hi all,

I have a little problem.

I need to let maple solve: int( diff( u(x), x$2) * v(x), x=0..1), where u(x) and v(x) are arbitrary single variable real valued functions. Moreover Maple should consider v(0)=v(1)=0 while doing integration.

Maple is returning the integral as it is. I think some how I need to force maple to use integration by parts but do not know how?

I know maple knows: int( diff( u(x), x$2), x) = diff( u(x), x)

Please help.

Thanks in advance and I would realy appreciate if some body please point out a general way of thinking when dealing with such situation.

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