## DIKHUNELOG 3 years ago what is the intergral of 0?

• This Question is Open
1. TuringTest

better yet, let me convince you what is the physical representation of the integral from x=a to x=b ?

2. erica.d

i don't know much about integrals but i know they represent sum of anything so how could we sum up zero

3. TuringTest

that is one convincing argument^

4. honey26

There is nothing like integral of zero.You should mention with respect to which you are integrating it.If it is the integration of 0 with respect to ,say some dt,then its value is a constant.in the case of integral of zero with anything gives us a constant.

5. TuringTest

the integral of zero is asking about the area under the curve f(x)=0 what is the area under the line y=0 ?

6. erica.d

@TuringTest is it ...lol..i am in 9th grade..but love sign of integral lol

7. TuringTest

Well your explanation is quite valid :) As I side note, I always loved the symbol of the integral as well ;)

8. erica.d

:) thanks :)

9. TuringTest

@honey26 your explanation is not right, you are describing the integral of 1

10. TuringTest

the integral of zero has a meaning: the area under the curve of y=0, or the sum of all the y values in some interval as @erica.d said, which is 0+0+0+0+0....=0 so there are two ways to see that the answer is zero

11. TuringTest

sorry, what I said is only for definite integrals, I think I see your point now @honey26

12. TuringTest

my apologies

13. honey26

yah,it is true that integral of zero means area under the line y=0 but indefinite integral of 1 with respect to dt gives us t but not a constant,right.

14. erica.d

does indefinite integral represent sum @TuringTest i guess No :)

15. TuringTest

yes it does represent a sum actually the symbol you love so much $\int$is in fact a medieval S that stands for "summa"

16. erica.d

oh thanks for this nugget of wisdom ..... :D

17. honey26

indefinite integral is also a sum but it has no limits like definite integral.

18. erica.d

guys i need to learn it more ::( i feel so stupid here

19. TuringTest

...and that is why the indefinite integral of 0 can be a constant, because $\int0dx$asks "what function is 0 the derivative of?" the answer is any constant, (or in multivarible terms, any variable that does not depend on x)

20. TuringTest

if you are in 9th grade @erica.d you are way ahead of where I was back then. I was busy failing algebra, I had to go to summer school ;)

21. erica.d

he he thanks :) i am just curious to solve those complex equation that i have seen on TV

22. TuringTest

you will, I'm sure :D