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Integral of dt

  1. Nov 16, 2008 #1
    Why is the integral of dt = t + C1

    Can someone explain that to me?

    Thanks.
     
  2. jcsd
  3. Nov 16, 2008 #2

    lurflurf

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    Homework Helper

    It seem the integral you are interested in is the indefinite type. So you are looking for some function f so that
    df=dt
    clearly f=t is one such function, but there are others
    what if we are intersted in g so that dg=0
    but for any c c*dg=c*0=0 also
    d(1)=0
    but also
    d(c)=0

    so if du=dv
    we can say
    d(u-v)=0
    but we cannot conclude u=v
    since d(u-v)=0
    we can conclude
    u-v=c for some c

    so if df=dt
    f=t+c
     
  4. Nov 16, 2008 #3
    thanks, i understand now.
     
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