why we use constant c in integration?

why we use constant c in integration?
In order to include all antiderivatives of f(x) , the constant of integration C is used for indefinite integrals. The importance of C is that it allows us to express the general form of antiderivatives.
Full answer in: socratic.org
What is the constant C in integration?
The notation used to represent all antiderivatives of a function f( x) is the indefinite integral symbol written , where . The function of f( x) is called the integrand, and C is reffered to as the constant of integration.
Full answer in: www.cliffsnotes.com
Why do we use C in integration?
You can see that all expressions that differentiate to B start with x2 + 3x and then have a constant added on the end. So when we integrate B we can say that we get x2 + 3x “plus an unknown constant ”. The + c is just how we write “plus an unknown constant ” in a nice mathematical way.
Full answer in: www.mytutor.co.uk
More questions like: Why do we use C in integration?
Why is it important to introduce the constant of integration immediately when you integrate?
A constant of integration gives a family of functions that forms a general solution when solving a differential equation. When finding the indefinite integral one will always add a constant to account for this family of functions. ... So the additive constant takes care of the ambiguity of which function we should select.
Full answer in: www.quora.com
Why there is a constant in integration?
Differentiating a constant always gives 0, so a primitive is always defined up to a constant. Said differently, for any value of C, differentiating F + constant will give you back the same f for any C. We usually find the integral of a function f(x) by finding a function F(x) such that F′(x)=f(x).
Full answer in: math.stackexchange.com