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DIKHUNELOG Group Title

what is the intergral of 0?

  • one year ago
  • one year ago

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

    • one year ago
  2. erica.d Group Title
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    i don't know much about integrals but i know they represent sum of anything so how could we sum up zero

    • one year ago
  3. TuringTest Group Title
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    that is one convincing argument^

    • one year ago
  4. honey26 Group Title
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    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.

    • one year ago
  5. TuringTest Group Title
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    the integral of zero is asking about the area under the curve f(x)=0 what is the area under the line y=0 ?

    • one year ago
  6. erica.d Group Title
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    @TuringTest is it ...lol..i am in 9th grade..but love sign of integral lol

    • one year ago
  7. TuringTest Group Title
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    Well your explanation is quite valid :) As I side note, I always loved the symbol of the integral as well ;)

    • one year ago
  8. erica.d Group Title
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    :) thanks :)

    • one year ago
  9. TuringTest Group Title
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    @honey26 your explanation is not right, you are describing the integral of 1

    • one year ago
  10. TuringTest Group Title
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    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

    • one year ago
  11. TuringTest Group Title
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    sorry, what I said is only for definite integrals, I think I see your point now @honey26

    • one year ago
  12. TuringTest Group Title
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    my apologies

    • one year ago
  13. honey26 Group Title
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    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.

    • one year ago
  14. erica.d Group Title
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    does indefinite integral represent sum @TuringTest i guess No :)

    • one year ago
  15. TuringTest Group Title
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    yes it does represent a sum actually the symbol you love so much \[\int\]is in fact a medieval S that stands for "summa"

    • one year ago
  16. erica.d Group Title
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    oh thanks for this nugget of wisdom ..... :D

    • one year ago
  17. honey26 Group Title
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    indefinite integral is also a sum but it has no limits like definite integral.

    • one year ago
  18. erica.d Group Title
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    guys i need to learn it more ::( i feel so stupid here

    • one year ago
  19. TuringTest Group Title
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    ...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)

    • one year ago
  20. TuringTest Group Title
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    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 ;)

    • one year ago
  21. erica.d Group Title
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    he he thanks :) i am just curious to solve those complex equation that i have seen on TV

    • one year ago
  22. TuringTest Group Title
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    you will, I'm sure :D

    • one year ago
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