Can Zero Be Integrated?

@zaveri-5TD6Sk • Oct 21, 2024

Oct 21, 2024

1.0K

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 ?

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Kaustubh Katdare

@thebigk • Jul 22, 2012

Integration of Zero would be Zero. Because zero leaves 'nothing' to be integrated. 😨
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Ramani Aswath

@ramani-VR4O43 • Jul 22, 2012

This a case of definite and indefinite integrals. See here for a full explanation:
#-Link-Snipped-#

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zaveri

@zaveri-5TD6Sk • Jul 22, 2012

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 ?
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Ramani Aswath

@ramani-VR4O43 • Jul 22, 2012

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.
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Kedar Malwadkar

@kedar-crbktt • Jul 23, 2012

The explaination on the link says it all!
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vinod1993

@vinod1993-r3yTlk • Jul 23, 2012

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)
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Shashank Moghe

@shashank-94ap1q • Sep 17, 2014

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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