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How boundary conditions help in finding integration constant

  1. Oct 11, 2015 #1
    How to find value of integration constant?I know with the help of boundary conditions,but How boundary conditions help in finding integration constant?
     
  2. jcsd
  3. Oct 11, 2015 #2

    blue_leaf77

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    An integral ##I## without integration limits is an indefinite integral
    $$
    I(x) = \int f(x) dx = F(x) + C
    $$
    If you know at least one boundary condition, e.g. ##I(x)## at ##x=a##, you can plug in these values to get
    $$
    I(a) = F(a) + C
    $$
    which can be solved for C.
     
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