Question

what is the intergral of 0?

Answer 1

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

Answer 2

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

Answer 3

that is one convincing argument^

Answer 4

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.

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

:) thanks :)

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

my apologies

Answer 13

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.

Answer 14

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

Answer 15

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

Answer 16

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

Answer 17

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

Answer 18

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

Answer 19

...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)

Answer 20

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 ;)

Answer 21

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

Answer 22

you will, I'm sure :D