|
Antiderivatives |
|
|
|
Antiderivatives
Given a function F is called an antiderivative of the
function f if for all x in the domain of f that F
'(x) = f(x) + C, where C is any constant.
ex.
What are the antiderivative of 3?
The antiderivative of 3x2 is x3 + C, the
constant term is added because antiderivatives only differs by a
constant. This is also taken from the derivative rule that the
derivative of a constant is zero.
Antidifferentiation is the is the process of finding all the
antiderivatives of a function.
The antiderivative of x:
If f '(x) = xn then:
|
|
