why do we put arbitrary constant in integration

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- May 25th 2010, 04:27 AMprasumintegration constant
why do we put arbitrary constant in integration

- May 25th 2010, 04:32 AMpickslides
Differentiate these functions

What do you get? What does this mean? - May 25th 2010, 06:28 AMAlso sprach ZarathustraHey there...
It's...

**The fundamental theorem of calculus:**

where is a real-valued function continuous on . Then, is continuous on , differentiable on the open interval , and:

- May 25th 2010, 04:58 PMTheCoffeeMachine
Say you want to integrate . Writing means to say that the function satisfies . But is it the only one that satisfies this relation? Clearly, satisfies; so do and . In fact, for any number , it's true that satisfies the relation. Finding means finding the set of all function which satisfy F'(x) = f(x), i.e the set of all anti-derivatives of f(x).

- May 25th 2010, 06:16 PMpickslides
- May 25th 2010, 06:36 PMTheCoffeeMachine