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In Indefinite integration we need use the constant of integration but suppose we take the example of v=u+at, here if we are given that v is not equal to zero then do we neglect the constant of integration? please explain with examples the concept of the constant of integration.

In Indefinite integration we need use the constant of integration but suppose we take the example of v=u+at, here if we are given that v is not equal to zero then do we neglect the constant of integration?
please explain with examples the concept of the constant of integration.

Grade:11

1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
7 years ago
Suppose you differentiate the expression 2x+2.
The answer would be 2, right
Now when you integrate the expression 2
The answer would be 2x
Don't you see that something is missing?
As we don't know if there is a constant when we integrate and we also don't know its value we put the integration constant "c" to show the fact that there might be a constant.
The correct answer for the integration of 2 would be 2x+c where c=2 in this case.
When integrating you should always put the "c" otherwise it is an error.
There are ways to find the value of "c" depending on the question asked. There are some values that you are given to help you find "c

All the best
Thanks & Regards
Rinkoo Gupta
AskIITians Faculty

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