HISTORY: Derivation is very important in mathematics especially in calculus.
Appeared by the end of the 16th century, this concept was developed during 17th century, by a great German philosopher and scientist named Gottfried Wilhelm Leibniz (1646-1716) and also by a great English scientist and inventor named Sir Isaac Newtown(1642-1727).
PART 1: The antiderivative is noted: ∫f(x) dx = F(x) + C
DEFINITION:
A function G(x) is an antiderivative of g(x) on an interval (a, b) if the derivative of F‘(x) = f(x) for all x in (a,b).
NOTATION:
NOTE:
Do not be confused by the terms ” antiderivative ” and ” ” indefinite integral ” they are the same.
EXAMPLE: Suppose, we have to find the antiderivative of function f