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
The expression ∫ f(x)dx represents the family of all antiderivatives of f(x). When a constant of integration 'C' is added, it specifically denotes the general antiderivative, which is also known as the indefinite integral. A definite integral has limits of integration (e.g., ∫ab f(x)dx) and evaluates to a numerical value. The integrand is f(x) itself, the function being integrated. 'Finite integral' is not a standard term in calculus.
Hint
Consider the meaning of an integral without limits of integration.