suppose f is real, continuously differentiable function on [a,b], f(a)=f(b)=0 and(adsbygoogle = window.adsbygoogle || []).push({});

integral f^2dx=1

show [integral(xf(x)f'(x)dx)= -1/2 over [a,b]

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# Integral of a continuously differentiable function on [a,b].

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