I am trying to understand an example from my textbook "applied finite element analysis" and in the variational calculus, Euler lagrange equation example I cant seem to understand the following derivation in one of its examples(adsbygoogle = window.adsbygoogle || []).push({});

∫((dT/dx)(d(δT)/dx))dx= ∫((dT/dx)δ(dT/dx))dx= ∫((1/2)δ(dT/dx)^2)dx

limits from 0 to 5.

My question here is how in the last part of the derivation 1/2 appears out of the blue where the integratal remains intact..

If anyone know the answer.. kindly refer me some examples also

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# Variational calculus Euler lagrange Equation

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