Derivation of „rest mass energy“ E = m0 c12 violates logic of math E = m0 c2 conceptually not intelligible

Pay attention to the fact that the two terms of the resulting difference E = [m0 c2 γ – m0 c2 ] represent the values for the upper or final (here v = v) and lower or initial limit (here = 0) of the integral. It is a question of mathematical logic that the terms for v = v and for v = 0 have no physical relevance for themselves.