Fundamental Theorem of Calculus: Difference between revisions
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By the logic above, a change in ''x'' (or Δ''x'') is the sum of the infinitesimal changes d''x''. It is also equal to the sum of the infinitesimal products of the derivative and time. This infinite summation is integration; hence, the integration operation allows the recovery of the original function from its derivative. It can be concluded that this operation works in reverse; the result of the integral can be differentiated to recover the original function. | By the logic above, a change in ''x'' (or Δ''x'') is the sum of the infinitesimal changes d''x''. It is also equal to the sum of the infinitesimal products of the derivative and time. This infinite summation is integration; hence, the integration operation allows the recovery of the original function from its derivative. It can be concluded that this operation works in reverse; the result of the integral can be differentiated to recover the original function. | ||
==Formal statements== | ==Formal statements== |