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 ?
When a constant value is differentiated, we obtain zero.
and since integration is just the reverse of differentiation, then can zero be integrated ?
Replies
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Kaustubh KatdareIntegration of Zero would be Zero. Because zero leaves 'nothing' to be integrated. 😨
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Ramani AswathThis a case of definite and indefinite integrals. See here for a full explanation:
#-Link-Snipped-# -
zaveriWell 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 AswathThat 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.
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Kedar MalwadkarThe explaination on the link says it all!
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vinod19930 + 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)
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Shashank MogheSince 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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