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Proof Involving Integral, Derivative and Double Derivative

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Assume that f, f' and f''' are continuous on [a,b] and f(a)=f(b)=0. Then

S b--> a f(x)f''(x)dx = -S b--> a (f'(x))^2 dx


Solution Summary

A proof involving an integral is provided. The solution is well presented.