Question Detail
Question
If y = ∫ f(x)dx + C, then ∫ f(x)dx is called the _____
Correct Answer
Option C is the correct answer.
Detailed Explanation
In calculus, the symbol ∫ f(x)dx represents the indefinite integral of f(x). It denotes the family of all antiderivatives of f(x). The '+ C' is the constant of integration, representing that there are infinitely many antiderivatives differing by a constant.A definite integral, on the other hand, has limits of integration (e.g., ∫ab f(x)dx) and evaluates to a specific numerical value.The integrand is the function f(x) being integrated.Therefore, the correct term is 'Indefinite integral'.
Hint
Recall the fundamental definitions related to integration.