Is 0=1 or is it my mistake? A question on indefinite integration.

[3.1415926535]

Obviously it is my mistake but i am wondering what is the mistake i made. First of all, i didn't know how to type math in this forum so i attached a word document with my "idea"

 

[arildno]

Your mistake lies in assuming that the constant of integration must be the same "c".
It won't be.

 

[3.1415926535]

Your mistake lies in assuming that the constant of integration must be the same "c".
It won't be.

could you explain a little more?

 

[3.1415926535]

nicksauce , i got an email that you replied but i can't see your post

 

[elibj123]

In an indefinite integration you will get a constant c. It doesn't have to be the same in b oth integrals so the constant in the right integral will cover for the addition of '1'.

In definite integration, you will need to put the boundaries on 1 to.
So it will be lie:

$$1_{x=b}-1_{x=a}$$

Which is of course zero, and therefore there is no contradiction.

 

[3.1415926535]

elibj123, thank you very much I was referring to indefinite integration and i understand now. Again thanks