Antiderivatives
Posted: January 11th, 2012, 6:23 pmA function F(x) is an antiderivative of a function f(x) if F'(x) = f(x) for all x in the domain of f.
In other words, antiderivative is the opposite of taking the derivative; you are given the derivative, and you must find the original function
xn (n ≠ -1)
Constant functions have zero as their derivative.
ex. f'(x) = 2
F(x) = 2x + c
In other words, antiderivative is the opposite of taking the derivative; you are given the derivative, and you must find the original function
xn (n ≠ -1)
- General Antiderivative:
Constant functions have zero as their derivative.
ex. f'(x) = 2
F(x) = 2x + c