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A Surface Integral of a Scalar Field with Time Dependency

  1. Feb 15, 2017 #1
    Can someone explain to me how this solution is obtained ?

    I mean the last part that applied divergence theorem ?

    For example, in the x-direction, why did we substitute x with t and took the derivative of t w.r.t. t ?!

    Can someone explain it physically as well ?

    What does it mean to have a surface specified with x = 0 & t ?
  2. jcsd
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