Can Zero Be Integrated?

Can "zero" be integrated ?

When a constant value is differentiated, we obtain zero.

and since integration is just the reverse of differentiation, then can zero be integrated ?

Replies

  • Kaustubh Katdare
    Kaustubh Katdare
    Integration of Zero would be Zero. Because zero leaves 'nothing' to be integrated. 😨
  • Ramani Aswath
    Ramani Aswath
    This a case of definite and indefinite integrals. See here for a full explanation:
    #-Link-Snipped-#
  • zaveri
    zaveri
    Well i think biggie made his point.

    Now if zero could be integrated , and a particular constant value could be obtained, then what exactly would the value be ?
  • Ramani Aswath
    Ramani Aswath
    That is exactly what was discussed in the link given. The indefinite integral = 0 + C, where C can be any constant. However, when you try to evaluate a definite integral between two limits, C gets cancelled leaving zero as K said.
  • Kedar Malwadkar
    Kedar Malwadkar
    The explaination on the link says it all!
  • vinod1993
    vinod1993
    0 + c..! so a constant is left behind...! if sufficient condition is given u can find the specific "c" but in general it is C..!(oly if u integrate without any definite limits else 0)
  • Shashank Moghe
    Shashank Moghe
    Since the integral of zero would be a value whose differentiation with respect to the dependent variable is zero, it is quite clear that the integral exists and is any (or rather more appropriately, every) constant in nature.

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