anyway let me ask something more basic...why do we have a integrational constant in calculus? if we sum ( in summation) up the thing do we need any constant like this??

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- June 20th 2012, 02:53 AMcooper607integration constant
*anyway let me ask something more basic...why do we have a integrational constant in calculus? if we sum ( in summation) up the thing do we need any constant like this??* - June 20th 2012, 03:29 AMsimamuraRe: integration constant
Summation is equivalent to definite integral. In definite integral we don't need constant.

- June 20th 2012, 10:00 AMrichard1234Re: integration constant
Consider the indefinite integral

We can say that the anti-derivative of is . However, another anti-derivative could be , or perhaps . This is because the derivative of a constant is zero.

To remove all this ambiguity we say that , where C is an arbitrary constant.